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12320000102120 = 2351718117647209
BaseRepresentation
bin1011001101000111100100…
…1110101100111011101000
31121121210001222201120212112
42303101321032230323220
53103322330011231440
642111421354501452
72411043042005444
oct263217116547350
947553058646775
1012320000102120
113a1a97896a917
12146b847134888
136b4a03c30739
14308411031824
1516571136a965
hexb34793acee8

12320000102120 has 32 divisors (see below), whose sum is σ = 29350588480200. Its totient is φ = 4638117685248.

The previous prime is 12320000102117. The next prime is 12320000102149. The reversal of 12320000102120 is 2120100002321.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10355691336676 + 1964308765444 = 3218026^2 + 1401538^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12320000102095 and 12320000102104.

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, 9058822925 + ... + 9058824284.

Almost surely, 212320000102120 is an apocalyptic number.

12320000102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12320000102120 is an abundant number, since it is smaller than the sum of its proper divisors (17030588378080).

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

12320000102120 is a wasteful number, since it uses less digits than its factorization.

12320000102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18117647237 (or 18117647233 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12320000102120 its reverse (2120100002321), we get a palindrome (14440100104441).

The spelling of 12320000102120 in words is "twelve trillion, three hundred twenty billion, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 18117647209 36235294418 72470588836 90588236045 144941177672 181176472090 308000002553 362352944180 616000005106 724705888360 1232000010212 1540000012765 2464000020424 3080000025530 6160000051060 12320000102120