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12020463661512 = 23317349329925589
BaseRepresentation
bin1010111011101011101101…
…1101110111000111001000
31120120010220210001211001210
42232322323131313013020
53033420402144132022
641322042541213120
72350310203165155
oct256727335670710
946503823054053
1012020463661512
113914939400659
121421790b611a0
136926a9168537
142d7b176bb22c
1515ca2e727a0c
hexaeebb7771c8

12020463661512 has 128 divisors (see below), whose sum is σ = 31920966000000. Its totient is φ = 3759033593856.

The previous prime is 12020463661469. The next prime is 12020463661513. The reversal of 12020463661512 is 21516636402021.

It is a super-2 number, since 2×120204636615122 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12020463661513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 469738414 + ... + 469764002.

It is an arithmetic number, because the mean of its divisors is an integer number (249382546875).

Almost surely, 212020463661512 is an apocalyptic number.

12020463661512 is a gapful number since it is divisible by the number (12) 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 12020463661512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15960483000000).

12020463661512 is an abundant number, since it is smaller than the sum of its proper divisors (19900502338488).

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

12020463661512 is a wasteful number, since it uses less digits than its factorization.

12020463661512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29263 (or 29259 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 12020463661512 in words is "twelve trillion, twenty billion, four hundred sixty-three million, six hundred sixty-one thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 349 408 698 1047 1396 2094 2792 3299 4188 5933 6598 8376 9897 11866 13196 17799 19794 23732 25589 26392 35598 39588 47464 51178 56083 71196 76767 79176 102356 112166 142392 153534 168249 204712 224332 307068 336498 435013 448664 614136 672996 870026 1151351 1305039 1345992 1740052 2302702 2610078 3454053 3480104 4605404 5220156 6908106 8930561 9210808 10440312 13816212 17861122 19572967 26791683 27632424 35722244 39145934 53583366 58718901 71444488 78291868 84418111 107166732 117437802 151819537 156583736 168836222 214333464 234875604 253254333 303639074 337672444 455458611 469751208 506508666 607278148 675344888 910917222 1013017332 1214556296 1435107887 1821834444 2026034664 2870215774 3643668888 4305323661 5740431548 8610647322 11480863096 17221294644 29461920739 34442589288 58923841478 88385762217 117847682956 176771524434 235695365912 353543048868 500852652563 707086097736 1001705305126 1502557957689 2003410610252 3005115915378 4006821220504 6010231830756 12020463661512