10120501512 has 96 divisors (see below), whose sum is σ = 29955912480. Its totient is φ = 3061236480.

The previous prime is 10120501483. The next prime is 10120501537. The reversal of 10120501512 is 21510502101.

10120501512 is a `hidden beast` number, since 101 + 2 + 0 + 50 + 1 + 512 = 666.

It is a super-2 number, since 2×10120501512² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 434548 + ... + 457244.

It is an arithmetic number, because the mean of its divisors is an integer number (312040755).

Almost surely, 2^10120501512 is an apocalyptic number.

10120501512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120501512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14977956240).

10120501512 is an abundant number, since it is smaller than the sum of its proper divisors (19835410968).

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

10120501512 is a wasteful number, since it uses less digits than its factorization.

10120501512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23283 (or 23276 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The spelling of 10120501512 in words is "ten billion, one hundred twenty million, five hundred one thousand, five hundred twelve".