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12201220020 = 22351175724421
BaseRepresentation
bin10110101110011111…
…11101011110110100
31011111022202012022210
423113033331132310
5144442003020040
65334414253420
7611233442013
oct132717753664
934438665283
1012201220020
1151a12a8210
1224461b7270
1311c5a58222
1483a63aa7a
154b626b480
hex2d73fd7b4

12201220020 has 96 divisors (see below), whose sum is σ = 37319942016. Its totient is φ = 2953843200.

The previous prime is 12201220013. The next prime is 12201220027. The reversal of 12201220020 is 2002210221.

It is an interprime number because it is at equal distance from previous prime (12201220013) and next prime (12201220027).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12201219978 and 12201220005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201220027) 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, 487410 + ... + 511830.

It is an arithmetic number, because the mean of its divisors is an integer number (388749396).

Almost surely, 212201220020 is an apocalyptic number.

12201220020 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 12201220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18659971008).

12201220020 is an abundant number, since it is smaller than the sum of its proper divisors (25118721996).

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

12201220020 is a wasteful number, since it uses less digits than its factorization.

12201220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25201 (or 25199 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12201220020 its reverse (2002210221), we get a palindrome (14203430241).

It can be divided in two parts, 12201 and 220020, that added together give a triangular number (232221 = T681).

The spelling of 12201220020 in words is "twelve billion, two hundred one million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 757 1514 2271 3028 3785 4542 7570 8327 9084 11355 15140 16654 22710 24421 24981 33308 41635 45420 48842 49962 73263 83270 97684 99924 122105 124905 146526 166540 244210 249810 268631 293052 366315 488420 499620 537262 732630 805893 1074524 1343155 1465260 1611786 2686310 3223572 4029465 5372620 8058930 16117860 18486697 36973394 55460091 73946788 92433485 110920182 184866970 203353667 221840364 277300455 369733940 406707334 554600910 610061001 813414668 1016768335 1109201820 1220122002 2033536670 2440244004 3050305005 4067073340 6100610010 12201220020