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12310014120 = 23351910874967
BaseRepresentation
bin10110111011011101…
…11110100010101000
31011202220110111202220
423131232332202220
5200202330422440
65353302154040
7614024251665
oct133556764250
934686414686
1012310014120
115247755898
122476722920
13121245a731
1484ac7aa6c
154c0aab8d0
hex2ddbbe8a8

12310014120 has 128 divisors (see below), whose sum is σ = 38917324800. Its totient is φ = 3106411776.

The previous prime is 12310014103. The next prime is 12310014121. The reversal of 12310014120 is 2141001321.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12310014120.

It is not an unprimeable number, because it can be changed into a prime (12310014121) 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, 2475877 + ... + 2480843.

It is an arithmetic number, because the mean of its divisors is an integer number (304041600).

Almost surely, 212310014120 is an apocalyptic number.

12310014120 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 12310014120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19458662400).

12310014120 is an abundant number, since it is smaller than the sum of its proper divisors (26607310680).

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

12310014120 is a wasteful number, since it uses less digits than its factorization.

12310014120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6087 (or 6083 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12310014120 its reverse (2141001321), we get a palindrome (14451015441).

The spelling of 12310014120 in words is "twelve billion, three hundred ten million, fourteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1087 1140 2174 2280 3261 4348 4967 5435 6522 8696 9934 10870 13044 14901 16305 19868 20653 21740 24835 26088 29802 32610 39736 41306 43480 49670 59604 61959 65220 74505 82612 94373 99340 103265 119208 123918 130440 149010 165224 188746 198680 206530 247836 283119 298020 309795 377492 413060 471865 495672 566238 596040 619590 754984 826120 943730 1132476 1239180 1415595 1887460 2264952 2478360 2831190 3774920 5399129 5662380 10798258 11324760 16197387 21596516 26995645 32394774 43193032 53991290 64789548 80986935 102583451 107982580 129579096 161973870 205166902 215965160 307750353 323947740 410333804 512917255 615500706 647895480 820667608 1025834510 1231001412 1538751765 2051669020 2462002824 3077503530 4103338040 6155007060 12310014120