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12072120150051 = 341379145120273
BaseRepresentation
bin1010111110101100001001…
…1011101110100000100011
31120202002020210212022210000
42233223002123232200203
53040242200224300201
641401504435111043
72354116251121443
oct257530233564043
946662223768700
1012072120150051
113934837117aa5
12142b7a8742483
1369751c15b8a0
142da418008123
1515e054728d86
hexafac26ee823

12072120150051 has 40 divisors (see below), whose sum is σ = 19666699532480. Its totient is φ = 7334959027968.

The previous prime is 12072120150043. The next prime is 12072120150067. The reversal of 12072120150051 is 15005102127021.

12072120150051 is a `hidden beast` number, since 1 + 20 + 72 + 1 + 20 + 1 + 500 + 51 = 666.

It is not a de Polignac number, because 12072120150051 - 23 = 12072120150043 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12072120149997 and 12072120150024.

It is not an unprimeable number, because it can be changed into a prime (12072120150031) 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 39 ways as a sum of consecutive naturals, for example, 72476950 + ... + 72643323.

It is an arithmetic number, because the mean of its divisors is an integer number (491667488312).

Almost surely, 212072120150051 is an apocalyptic number.

12072120150051 is a deficient number, since it is larger than the sum of its proper divisors (7594579382429).

12072120150051 is a wasteful number, since it uses less digits than its factorization.

12072120150051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145120377 (or 145120368 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

Adding to 12072120150051 its reverse (15005102127021), we get a palindrome (27077222277072).

The spelling of 12072120150051 in words is "twelve trillion, seventy-two billion, one hundred twenty million, one hundred fifty thousand, fifty-one".

Divisors: 1 3 9 13 27 39 79 81 117 237 351 711 1027 1053 2133 3081 6399 9243 27729 83187 145120273 435360819 1306082457 1886563549 3918247371 5659690647 11464501567 11754742113 16979071941 34393504701 50937215823 103180514103 149038520371 152811647469 309541542309 447115561113 928624626927 1341346683339 4024040050017 12072120150051