Search a number
-
+
12435922330112 = 291558492
BaseRepresentation
bin1011010011110111011010…
…1110111010001000000000
31122000212021210211220210002
42310331312232322020000
53112222232104030422
642240552302255132
72422315514460641
oct264756656721000
948025253756702
1012435922330112
113a65054a51526
12148a1b92874a8
136c2919366158
1430dc8a97b6c8
15168748337692
hexb4f76bba200

12435922330112 has 30 divisors (see below), whose sum is σ = 24847715183973. Its totient is φ = 6217921267712.

The previous prime is 12435922330079. The next prime is 12435922330121. The reversal of 12435922330112 is 21103322953421.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

12435922330112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11753487728896 + 682434601216 = 3428336^2 + 826096^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=2493584.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 79716764 + ... + 79872612.

Almost surely, 212435922330112 is an apocalyptic number.

It is an amenable number.

12435922330112 is a deficient number, since it is larger than the sum of its proper divisors (12411792853861).

12435922330112 is an frugal number, since it uses more digits than its factorization.

12435922330112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311716 (or 155851 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The spelling of 12435922330112 in words is "twelve trillion, four hundred thirty-five billion, nine hundred twenty-two million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 512 155849 311698 623396 1246792 2493584 4987168 9974336 19948672 39897344 79794688 24288910801 48577821602 97155643204 194311286408 388622572816 777245145632 1554490291264 3108980582528 6217961165056 12435922330112