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12064453128 = 23327131841339
BaseRepresentation
bin10110011110001100…
…01111001000001000
31011010210101201102100
423033012033020020
5144202000000003
65313051033400
7604653105510
oct131706171010
934123351370
1012064453128
115131084222
12240843b860
1311a3610680
148263d8840
154a9252ba3
hex2cf18f208

12064453128 has 96 divisors (see below), whose sum is σ = 40214865600. Its totient is φ = 3181832064.

The previous prime is 12064453127. The next prime is 12064453273. The reversal of 12064453128 is 82135446021.

It is a happy number.

12064453128 is a `hidden beast` number, since 1 + 2 + 0 + 644 + 5 + 3 + 1 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12064453092 and 12064453101.

It is not an unprimeable number, because it can be changed into a prime (12064453127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 914118 + ... + 927221.

It is an arithmetic number, because the mean of its divisors is an integer number (418904850).

Almost surely, 212064453128 is an apocalyptic number.

12064453128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12064453128 is an abundant number, since it is smaller than the sum of its proper divisors (28150412472).

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

12064453128 is a wasteful number, since it uses less digits than its factorization.

12064453128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841371 (or 1841364 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 12064453128 its reverse (82135446021), we get a palindrome (94199899149).

The spelling of 12064453128 in words is "twelve billion, sixty-four million, four hundred fifty-three thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 1841339 3682678 5524017 7365356 11048034 12889373 14730712 16572051 22096068 23937407 25778746 33144102 38668119 44192136 47874814 51557492 66288204 71812221 77336238 95749628 103114984 116004357 132576408 143624442 154672476 167561849 191499256 215436663 232008714 287248884 309344952 335123698 430873326 464017428 502685547 574497768 670247396 861746652 928034856 1005371094 1340494792 1508056641 1723493304 2010742188 3016113282 4021484376 6032226564 12064453128