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12245280132 = 223171923137359
BaseRepresentation
bin10110110011110000…
…00010010110000100
31011121101122200102210
423121320002112010
5200034242431012
65343030503420
7612310110111
oct133170022604
934541580383
1012245280132
115214161228
122458b04b70
131201c13ab7
14842429908
154ba07123c
hex2d9e02584

12245280132 has 96 divisors (see below), whose sum is σ = 33230131200. Its totient is φ = 3481201152.

The previous prime is 12245280127. The next prime is 12245280163. The reversal of 12245280132 is 23108254221.

It is a super-2 number, since 2×122452801322 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12245280132.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20469 + ... + 157827.

It is an arithmetic number, because the mean of its divisors is an integer number (346147200).

Almost surely, 212245280132 is an apocalyptic number.

12245280132 is a gapful number since it is divisible by the number (12) 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 12245280132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16615065600).

12245280132 is an abundant number, since it is smaller than the sum of its proper divisors (20984851068).

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

12245280132 is a wasteful number, since it uses less digits than its factorization.

12245280132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137425 (or 137423 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 12245280132 in words is "twelve billion, two hundred forty-five million, two hundred eighty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 19 23 34 38 46 51 57 68 69 76 92 102 114 138 204 228 276 323 391 437 646 782 874 969 1173 1292 1311 1564 1748 1938 2346 2622 3876 4692 5244 7429 14858 22287 29716 44574 89148 137359 274718 412077 549436 824154 1648308 2335103 2609821 3159257 4670206 5219642 6318514 7005309 7829463 9340412 9477771 10439284 12637028 14010618 15658926 18955542 28021236 31317852 37911084 44366957 53707369 60025883 88733914 107414738 120051766 133100871 161122107 177467828 180077649 214829476 240103532 266201742 322244214 360155298 532403484 644488428 720310596 1020440011 2040880022 3061320033 4081760044 6122640066 12245280132