Search a number
-
+
12232213120 = 275312572399
BaseRepresentation
bin10110110010001100…
…01100001010000000
31011120111001210212101
423121012030022000
5200022421304440
65341442440144
7612061044631
oct133106141200
934514053771
1012232213120
115207846846
122454663054
1311cc2ba23a
148407c7888
154b8d3e69a
hex2d918c280

12232213120 has 128 divisors (see below), whose sum is σ = 30316032000. Its totient is φ = 4714659840.

The previous prime is 12232213109. The next prime is 12232213187. The reversal of 12232213120 is 2131223221.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5097681 + ... + 5100079.

It is an arithmetic number, because the mean of its divisors is an integer number (236844000).

Almost surely, 212232213120 is an apocalyptic number.

12232213120 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 12232213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15158016000).

12232213120 is an abundant number, since it is smaller than the sum of its proper divisors (18083818880).

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

12232213120 is a wasteful number, since it uses less digits than its factorization.

12232213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2706 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 12232213120 its reverse (2131223221), we get a palindrome (14363436341).

The spelling of 12232213120 in words is "twelve billion, two hundred thirty-two million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 257 310 320 496 514 620 640 992 1028 1240 1285 1984 2056 2399 2480 2570 3968 4112 4798 4960 5140 7967 8224 9596 9920 10280 11995 15934 16448 19192 19840 20560 23990 31868 32896 38384 39835 41120 47980 63736 74369 76768 79670 82240 95960 127472 148738 153536 159340 164480 191920 254944 297476 307072 318680 371845 383840 509888 594952 616543 637360 743690 767680 1019776 1189904 1233086 1274720 1487380 1535360 2379808 2466172 2549440 2974760 3082715 4759616 4932344 5098880 5949520 6165430 9519232 9864688 11899040 12330860 19112833 19729376 23798080 24661720 38225666 39458752 47596160 49323440 76451332 78917504 95564165 98646880 152902664 191128330 197293760 305805328 382256660 394587520 611610656 764513320 1223221312 1529026640 2446442624 3058053280 6116106560 12232213120