10120500936 has 384 divisors, whose sum is σ = 36837964800. Its totient is φ = 2527822080.

The previous prime is 10120500893. The next prime is 10120500937. The reversal of 10120500936 is 63900502101.

10120500936 is a `hidden beast` number, since 1 + 0 + 120 + 500 + 9 + 36 = 666.

10120500936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10120500937) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3359671 + ... + 3362681.

It is an arithmetic number, because the mean of its divisors is an integer number (95932200).

Almost surely, 2^10120500936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120500936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18418982400).

10120500936 is an abundant number, since it is smaller than the sum of its proper divisors (26717463864).

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

10120500936 is a wasteful number, since it uses less digits than its factorization.

10120500936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3071 (or 3055 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 10120500936 in words is "ten billion, one hundred twenty million, five hundred thousand, nine hundred thirty-six".