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12012400140 = 22351315719803
BaseRepresentation
bin10110010111111111…
…01010111000001100
31011000011110011010220
423023333222320030
5144100133301030
65303551231340
7603451500516
oct131377527014
934004404126
1012012400140
115104761024
1223b2b18550
1311958b69a0
1481d528bb6
154a48bea10
hex2cbfeae0c

12012400140 has 96 divisors (see below), whose sum is σ = 36248760576. Its totient is φ = 2954714880.

The previous prime is 12012400139. The next prime is 12012400189. The reversal of 12012400140 is 4100421021.

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

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, 1220479 + ... + 1230281.

It is an arithmetic number, because the mean of its divisors is an integer number (377591256).

Almost surely, 212012400140 is an apocalyptic number.

12012400140 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 12012400140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18124380288).

12012400140 is an abundant number, since it is smaller than the sum of its proper divisors (24236360436).

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

12012400140 is a wasteful number, since it uses less digits than its factorization.

12012400140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11399 (or 11397 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12012400140 its reverse (4100421021), we get a palindrome (16112821161).

The spelling of 12012400140 in words is "twelve billion, twelve million, four hundred thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1571 3142 4713 6284 7855 9426 9803 15710 18852 19606 20423 23565 29409 31420 39212 40846 47130 49015 58818 61269 81692 94260 98030 102115 117636 122538 127439 147045 196060 204230 245076 254878 294090 306345 382317 408460 509756 588180 612690 637195 764634 1225380 1274390 1529268 1911585 2548780 3823170 7646340 15400513 30801026 46201539 61602052 77002565 92403078 154005130 184806156 200206669 231007695 308010260 400413338 462015390 600620007 800826676 924030780 1001033345 1201240014 2002066690 2402480028 3003100035 4004133380 6006200070 12012400140