Search a number
-
+
12203220000120 = 2335378783312931
BaseRepresentation
bin1011000110010100100010…
…0101111101110101111000
31121012121122101100202001120
42301211020211331311320
53044414143310000440
641542025403545240
72366440111345662
oct261451045756570
947177571322046
1012203220000120
1139853a1609826
12145109582b220
136a69b2b60a76
143028d35b3532
15162678de3dd0
hexb194897dd78

12203220000120 has 128 divisors (see below), whose sum is σ = 37603511331840. Its totient is φ = 3165870251520.

The previous prime is 12203220000119. The next prime is 12203220000121. The reversal of 12203220000120 is 2100002230221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12203220000119) and next prime (12203220000121).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12203220000120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12203220000121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38840055 + ... + 39152985.

It is an arithmetic number, because the mean of its divisors is an integer number (293777432280).

Almost surely, 212203220000120 is an apocalyptic number.

12203220000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12203220000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18801755665920).

12203220000120 is an abundant number, since it is smaller than the sum of its proper divisors (25400291331720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12203220000120 is a wasteful number, since it uses less digits than its factorization.

12203220000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321765 (or 321761 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12203220000120 its reverse (2100002230221), we get a palindrome (14303222230341).

The spelling of 12203220000120 in words is "twelve trillion, two hundred three billion, two hundred twenty million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 8783 17566 26349 35132 43915 52698 70264 87830 105396 131745 175660 210792 263490 312931 324971 351320 526980 625862 649942 938793 974913 1053960 1251724 1299884 1564655 1624855 1877586 1949826 2503448 2599768 3129310 3249710 3755172 3899652 4693965 4874565 6258620 6499420 7510344 7799304 9387930 9749130 11578447 12517240 12998840 18775860 19498260 23156894 34735341 37551720 38996520 46313788 57892235 69470682 92627576 115784470 138941364 173676705 231568940 277882728 347353410 463137880 694706820 1389413640 2748472973 5496945946 8245418919 10993891892 13742364865 16490837838 21987783784 27484729730 32981675676 41227094595 54969459460 65963351352 82454189190 101693500001 109938918920 164908378380 203387000002 305080500003 329816756760 406774000004 508467500005 610161000006 813548000008 1016935000010 1220322000012 1525402500015 2033870000020 2440644000024 3050805000030 4067740000040 6101610000060 12203220000120