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12312404434220 = 225111672571303979
BaseRepresentation
bin1011001100101011010001…
…1111100001110100101100
31121121001110122010200100012
42303022310133201310230
53103211301013343340
642104123541152352
72410353600622202
oct263126437416454
947531418120305
1012312404434220
113a17730357130
12146a2873bb6b8
136b40933b79a7
14307cd0339072
151654195dc565
hexb32b47e1d2c

12312404434220 has 96 divisors (see below), whose sum is σ = 28485933396480. Its totient is φ = 4433107927040.

The previous prime is 12312404434159. The next prime is 12312404434261. The reversal of 12312404434220 is 2243440421321.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8790191 + ... + 10094169.

It is an arithmetic number, because the mean of its divisors is an integer number (296728472880).

Almost surely, 212312404434220 is an apocalyptic number.

12312404434220 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 12312404434220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14242966698240).

12312404434220 is an abundant number, since it is smaller than the sum of its proper divisors (16173528962260).

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

12312404434220 is a wasteful number, since it uses less digits than its factorization.

12312404434220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304423 (or 1304421 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 12312404434220 its reverse (2243440421321), we get a palindrome (14555844855541).

The spelling of 12312404434220 in words is "twelve trillion, three hundred twelve billion, four hundred four million, four hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 167 220 257 334 514 668 835 1028 1285 1670 1837 2570 2827 3340 3674 5140 5654 7348 9185 11308 14135 18370 28270 36740 42919 56540 85838 171676 214595 429190 472109 858380 944218 1303979 1888436 2360545 2607958 4721090 5215916 6519895 9442180 13039790 14343769 26079580 28687538 57375076 71718845 143437690 217764493 286875380 335122603 435528986 670245206 871057972 1088822465 1340490412 1675613015 2177644930 2395409423 3351226030 3686348633 4355289860 4790818846 6702452060 7372697266 9581637692 11977047115 14745394532 18431743165 23954094230 36863486330 47908188460 55965474701 73726972660 111930949402 223861898804 279827373505 559654747010 615620221711 1119309494020 1231240443422 2462480886844 3078101108555 6156202217110 12312404434220