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12906226125 = 345313313163
BaseRepresentation
bin11000000010100010…
…10110000111001101
31020022110100012220000
430001101112013031
5202412443214000
65532401114513
7634554053262
oct140121260715
936273305800
1012906226125
115523256791
122602328a39
1312a8b2b0c0
148a6119269
155080cc000
hex3014561cd

12906226125 has 160 divisors (see below), whose sum is σ = 26756201472. Its totient is φ = 6146928000.

The previous prime is 12906226111. The next prime is 12906226139. The reversal of 12906226125 is 52162260921.

12906226125 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 622 + 6 + 1 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (12906226111) and next prime (12906226139).

It is not a de Polignac number, because 12906226125 - 29 = 12906225613 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12906226125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4078794 + ... + 4081956.

Almost surely, 212906226125 is an apocalyptic number.

12906226125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12906226125 is an abundant number, since it is smaller than the sum of its proper divisors (13849975347).

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

12906226125 is a wasteful number, since it uses less digits than its factorization.

12906226125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3234 (or 3215 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 12906226125 in words is "twelve billion, nine hundred six million, two hundred twenty-six thousand, one hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 31 39 45 65 75 81 93 117 125 135 155 195 225 279 325 351 375 403 405 465 585 675 775 837 975 1053 1125 1209 1395 1625 1755 2015 2025 2325 2511 2925 3163 3375 3627 3875 4185 4875 5265 6045 6975 8775 9489 10075 10125 10881 11625 12555 14625 15815 18135 20925 26325 28467 30225 32643 34875 41119 43875 47445 50375 54405 62775 79075 85401 90675 98053 104625 123357 131625 142335 151125 163215 205595 237225 256203 272025 294159 313875 370071 395375 427005 453375 490265 616785 711675 816075 882477 1027975 1110213 1186125 1274689 1281015 1360125 1470795 1850355 2135025 2451325 2647431 3083925 3330639 3558375 3824067 4080375 4412385 5139875 5551065 6373445 6405075 7353975 7942293 9251775 10675125 11472201 12256625 13237155 15419625 16653195 19120335 22061925 27755325 31867225 32025375 34416603 36769875 39711465 46258875 57361005 66185775 83265975 95601675 103249809 110309625 138776625 159336125 172083015 198557325 286805025 330928875 416329875 478008375 516249045 860415075 992786625 1434025125 2581245225 4302075375 12906226125