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12010653678321 = 3647227312
BaseRepresentation
bin1010111011000111001010…
…1111101111101011110001
31120112012121002212001000000
42232301302233233223301
53033240304320201241
641313341303220213
72346512123541114
oct256616257575361
946465532761000
1012010653678321
113910764980031
12141b8b3747669
136917a494b35c
142d746689c57b
1515c6583a0eb6
hexaec72befaf1

12010653678321 has 63 divisors (see below), whose sum is σ = 18405777782793. Its totient is φ = 7833869021160.

The previous prime is 12010653678307. The next prime is 12010653678323. The reversal of 12010653678321 is 12387635601021.

It is a happy number.

The square root of 12010653678321 is 3465639.

It is a perfect power (a square), and thus also a powerful number.

12010653678321 is a `hidden beast` number, since 1 + 2 + 0 + 10 + 6 + 536 + 7 + 83 + 21 = 666.

It is not a de Polignac number, because 12010653678321 - 29 = 12010653677809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12010653678323) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 4397894526 + ... + 4397897256.

Almost surely, 212010653678321 is an apocalyptic number.

12010653678321 is the 3465639-th square number.

12010653678321 is the 1732820-th centered octagonal number.

It is an amenable number.

12010653678321 is a deficient number, since it is larger than the sum of its proper divisors (6395124104472).

12010653678321 is an frugal number, since it uses more digits than its factorization.

12010653678321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5574 (or 2781 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 12010653678321 in words is "twelve trillion, ten billion, six hundred fifty-three million, six hundred seventy-eight thousand, three hundred twenty-one".

Divisors: 1 3 9 27 47 81 141 243 423 729 1269 2209 2731 3807 6627 8193 11421 19881 24579 34263 59643 73737 128357 178929 221211 385071 536787 663633 1155213 1610361 1990899 3465639 6032779 7458361 10396917 18098337 22375083 31190751 54295011 67125249 93572253 162885033 201375747 350542967 488655099 604127241 1051628901 1465965297 1812381723 3154886703 4397895891 5437145169 9464660109 16475519449 28393980327 49426558347 85181940981 148279675041 255545822943 444839025123 1334517075369 4003551226107 12010653678321