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12016113460 = 22513295927011
BaseRepresentation
bin10110011000011011…
…10101011100110100
31011000102102210212021
423030031311130310
5144102111112320
65304203002524
7603525164521
oct131415653464
934012383767
1012016113460
11510686798a
1223b4209444
1311965b6c10
1481dc14148
154a4da4daa
hex2cc375734

12016113460 has 96 divisors (see below), whose sum is σ = 28589500800. Its totient is φ = 4210967040.

The previous prime is 12016113449. The next prime is 12016113481. The reversal of 12016113460 is 6431161021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431355 + ... + 458365.

It is an arithmetic number, because the mean of its divisors is an integer number (297807300).

Almost surely, 212016113460 is an apocalyptic number.

12016113460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12016113460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14294750400).

12016113460 is an abundant number, since it is smaller than the sum of its proper divisors (16573387340).

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

12016113460 is a wasteful number, since it uses less digits than its factorization.

12016113460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27121 (or 27119 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 12016113460 its reverse (6431161021), we get a palindrome (18447274481).

The spelling of 12016113460 in words is "twelve billion, sixteen million, one hundred thirteen thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 59 65 116 118 130 145 236 260 290 295 377 580 590 754 767 1180 1508 1534 1711 1885 3068 3422 3770 3835 6844 7540 7670 8555 15340 17110 22243 27011 34220 44486 54022 88972 108044 111215 135055 222430 270110 351143 444860 540220 702286 783319 1404572 1566638 1593649 1755715 3133276 3187298 3511430 3916595 6374596 7022860 7833190 7968245 10183147 15666380 15936490 20366294 20717437 31872980 40732588 41434874 46215821 50915735 82869748 92431642 101831470 103587185 184863284 203662940 207174370 231079105 414348740 462158210 600805673 924316420 1201611346 2403222692 3004028365 6008056730 12016113460