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12021416306136 = 233364738597977
BaseRepresentation
bin1010111011101111010000…
…1111111010010111011000
31120120020101011122011211000
42232323310033322113120
53033424330033244021
641322321251505000
72350342621424556
oct256736417722730
946506334564730
1012021416306136
11391528811a666
1214219b7bb8160
136927cb634c93
142d7ba801cbd6
1515ca881a2b26
hexaeef43fa5d8

12021416306136 has 64 divisors (see below), whose sum is σ = 33397985743200. Its totient is φ = 4006519248384.

The previous prime is 12021416306131. The next prime is 12021416306143. The reversal of 12021416306136 is 63160361412021.

12021416306136 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 1 + 4 + 1 + 6 + 30 + 613 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12021416306136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12021416306131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2900821 + ... + 5697156.

Almost surely, 212021416306136 is an apocalyptic number.

It is an amenable number.

12021416306136 is an abundant number, since it is smaller than the sum of its proper divisors (21376569437064).

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

12021416306136 is a wasteful number, since it uses less digits than its factorization.

12021416306136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8604465 (or 8604455 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 12021416306136 its reverse (63160361412021), we get a palindrome (75181777718157).

The spelling of 12021416306136 in words is "twelve trillion, twenty-one billion, four hundred sixteen million, three hundred six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 6473 12946 19419 25892 38838 51784 58257 77676 116514 155352 174771 233028 349542 466056 699084 1398168 8597977 17195954 25793931 34391908 51587862 68783816 77381793 103175724 154763586 206351448 232145379 309527172 464290758 619054344 928581516 1857163032 55654705121 111309410242 166964115363 222618820484 333928230726 445237640968 500892346089 667856461452 1001784692178 1335712922904 1502677038267 2003569384356 3005354076534 4007138768712 6010708153068 12021416306136