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12131012520 = 23335111021129
BaseRepresentation
bin10110100110001000…
…01000111110101000
31011022102122021202000
423103010020332220
5144321014400040
65323425411000
7606421622304
oct132304107650
934272567660
1012131012520
115165705290
122426799a60
1311b4346123
148311a2d04
154aeeee130
hex2d3108fa8

12131012520 has 128 divisors (see below), whose sum is σ = 44112816000. Its totient is φ = 2940848640.

The previous prime is 12131012471. The next prime is 12131012557. The reversal of 12131012520 is 2521013121.

12131012520 is a `hidden beast` number, since 1 + 2 + 131 + 0 + 12 + 520 = 666.

It is a super-2 number, since 2×121310125202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12131012493 and 12131012502.

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, 498685 + ... + 522444.

It is an arithmetic number, because the mean of its divisors is an integer number (344631375).

Almost surely, 212131012520 is an apocalyptic number.

12131012520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12131012520 is an abundant number, since it is smaller than the sum of its proper divisors (31981803480).

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

12131012520 is a wasteful number, since it uses less digits than its factorization.

12131012520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021160 (or 1021150 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 12131012520 its reverse (2521013121), we get a palindrome (14652025641).

The spelling of 12131012520 in words is "twelve billion, one hundred thirty-one million, twelve thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2376 2970 3960 5940 11880 1021129 2042258 3063387 4084516 5105645 6126774 8169032 9190161 10211290 11232419 12253548 15316935 18380322 20422580 22464838 24507096 27570483 30633870 33697257 36760644 40845160 44929676 45950805 55140966 56162095 61267740 67394514 73521288 89859352 91901610 101091771 110281932 112324190 122535480 134789028 137852415 168486285 183803220 202183542 220563864 224648380 269578056 275704830 303275313 336972570 367606440 404367084 449296760 505458855 551409660 606550626 673945140 808734168 1010917710 1102819320 1213101252 1347890280 1516376565 2021835420 2426202504 3032753130 4043670840 6065506260 12131012520