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12320431220 = 2251973127013
BaseRepresentation
bin10110111100101101…
…01101110001110100
31011210122001202100102
423132112231301310
5200213012244340
65354313333232
7614211636356
oct133626556164
934718052312
1012320431220
115252620369
12247a107218
1312146670b6
1484c3cd0d6
154c1968215
hex2de5adc74

12320431220 has 24 divisors (see below), whose sum is σ = 26004248424. Its totient is φ = 4903154816.

The previous prime is 12320431217. The next prime is 12320431237. The reversal of 12320431220 is 2213402321.

It can be written as a sum of positive squares in 4 ways, for example, as 996917476 + 11323513744 = 31574^2 + 106412^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12320431192 and 12320431201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1559567 + ... + 1567446.

It is an arithmetic number, because the mean of its divisors is an integer number (1083510351).

Almost surely, 212320431220 is an apocalyptic number.

12320431220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12320431220 is an abundant number, since it is smaller than the sum of its proper divisors (13683817204).

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

12320431220 is a wasteful number, since it uses less digits than its factorization.

12320431220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3127219 (or 3127217 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12320431220 its reverse (2213402321), we get a palindrome (14533833541).

The spelling of 12320431220 in words is "twelve billion, three hundred twenty million, four hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 197 394 788 985 1970 3940 3127013 6254026 12508052 15635065 31270130 62540260 616021561 1232043122 2464086244 3080107805 6160215610 12320431220