10420647120 has 120 divisors (see below), whose sum is σ = 37688040936. Its totient is φ = 2565080064.

The previous prime is 10420647113. The next prime is 10420647137. The reversal of 10420647120 is 2174602401.

10420647120 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 0 + 647 + 12 + 0 = 666.

10420647120 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 4 ways, for example, as 2160018576 + 8260628544 = 46476^2 + 90888^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 547299 + ... + 566018.

Almost surely, 2^10420647120 is an apocalyptic number.

10420647120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10420647120 is an abundant number, since it is smaller than the sum of its proper divisors (27267393816).

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

10420647120 is a wasteful number, since it uses less digits than its factorization.

10420647120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113349 (or 1113340 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 10420647120 in words is "ten billion, four hundred twenty million, six hundred forty-seven thousand, one hundred twenty".