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12132615780 = 22365832141
BaseRepresentation
bin10110100110010100…
…10000011001100100
31011022112122202000000
423103022100121210
5144321422201110
65323524021300
7606441350445
oct132312203144
934275582000
1012132615780
1151665aa89a
122427231830
1311b4787abc
1483149d2cc
154b02191c0
hex2d3290664

12132615780 has 84 divisors (see below), whose sum is σ = 38200310652. Its totient is φ = 3235360320.

The previous prime is 12132615749. The next prime is 12132615871. The reversal of 12132615780 is 8751623121.

12132615780 is a `hidden beast` number, since 1 + 2 + 1 + 32 + 615 + 7 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2726719524 + 9405896256 = 52218^2 + 96984^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 401491 + ... + 430650.

It is an arithmetic number, because the mean of its divisors is an integer number (454765603).

Almost surely, 212132615780 is an apocalyptic number.

12132615780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12132615780 is an abundant number, since it is smaller than the sum of its proper divisors (26067694872).

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

12132615780 is an equidigital number, since it uses as much as digits as its factorization.

12132615780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832168 (or 832151 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 12132615780 in words is "twelve billion, one hundred thirty-two million, six hundred fifteen thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2430 2916 3645 4860 7290 14580 832141 1664282 2496423 3328564 4160705 4992846 7489269 8321410 9985692 12482115 14978538 16642820 22467807 24964230 29957076 37446345 44935614 49928460 67403421 74892690 89871228 112339035 134806842 149785380 202210263 224678070 269613684 337017105 404420526 449356140 606630789 674034210 808841052 1011051315 1213261578 1348068420 2022102630 2426523156 3033153945 4044205260 6066307890 12132615780