10306630410120 has 144 divisors (see below), whose sum is σ = 36818520773580. Its totient is φ = 2498577058560.

The previous prime is 10306630410101. The next prime is 10306630410127. The reversal of 10306630410120 is 2101403660301.

10306630410120 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 6 + 630 + 4 + 1 + 0 + 1 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9881680268196 + 424950141924 = 3143514^2 + 651882^2 .

It is not an unprimeable number, because it can be changed into a prime (10306630410127) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 118260279 + ... + 118347398.

Almost surely, 2^{10306630410120} is an apocalyptic number.

10306630410120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10306630410120 is an abundant number, since it is smaller than the sum of its proper divisors (26511890363460).

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

10306630410120 is a wasteful number, since it uses less digits than its factorization.

10306630410120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236607716 (or 236607698 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 10306630410120 in words is "ten trillion, three hundred six billion, six hundred thirty million, four hundred ten thousand, one hundred twenty".