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12992414182125 = 3537127200319457
BaseRepresentation
bin1011110100010000100000…
…1110110110101011101101
31201000001200200110001102220
42331010020032312223231
53200331431012312000
643344344354105553
72510446064251320
oct275041016665355
951001620401386
1012992414182125
11415a063104524
12155a02527b2b9
137332441b0ba1
1432cb9c7747b7
15177e687021a0
hexbd1083b6aed

12992414182125 has 128 divisors (see below), whose sum is σ = 24916122796032. Its totient is φ = 5889377894400.

The previous prime is 12992414182093. The next prime is 12992414182127. The reversal of 12992414182125 is 52128141429921.

It is not a de Polignac number, because 12992414182125 - 25 = 12992414182093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12992414182127) 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 127 ways as a sum of consecutive naturals, for example, 667740397 + ... + 667759853.

It is an arithmetic number, because the mean of its divisors is an integer number (194657209344).

Almost surely, 212992414182125 is an apocalyptic number.

12992414182125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12992414182125 is a deficient number, since it is larger than the sum of its proper divisors (11923708613907).

12992414182125 is a wasteful number, since it uses less digits than its factorization.

12992414182125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21612 (or 21602 counting only the distinct ones).

The product of its digits is 829440, while the sum is 51.

The spelling of 12992414182125 in words is "twelve trillion, nine hundred ninety-two billion, four hundred fourteen million, one hundred eighty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 125 127 175 375 381 525 635 875 889 1905 2003 2625 2667 3175 4445 6009 9525 10015 13335 14021 15875 19457 22225 30045 42063 47625 50075 58371 66675 70105 97285 111125 136199 150225 210315 250375 254381 291855 333375 350525 408597 486425 680995 751125 763143 1051575 1271905 1459275 1752625 1780667 2042985 2432125 2471039 3404975 3815715 5257875 5342001 6359525 7296375 7413117 8903335 10214925 12355195 17024875 17297273 19078575 26710005 31797625 37065585 38972371 44516675 51074625 51891819 61775975 86486365 95392875 116917113 133550025 185327925 194861855 222583375 259459095 272806597 308879875 432431825 584585565 667750125 818419791 926639625 974309275 1297295475 1364032985 2162159125 2922927825 4092098955 4871546375 4949491117 6486477375 6820164925 14614639125 14848473351 20460494775 24747455585 34100824625 34646437819 74242366755 102302473875 103939313457 123737277925 173232189095 371211833775 519696567285 618686389625 866160945475 1856059168875 2598482836425 4330804727375 12992414182125