10120890120 has 192 divisors, whose sum is σ = 33566944320. Its totient is φ = 2439360000.

The previous prime is 10120890097. The next prime is 10120890161. The reversal of 10120890120 is 2109802101.

It is a super-2 number, since 2×10120890120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2626195 + ... + 2630045.

It is an arithmetic number, because the mean of its divisors is an integer number (174827835).

Almost surely, 2^10120890120 is an apocalyptic number.

10120890120 is a gapful number since it is divisible by the number (10) 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 10120890120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16783472160).

10120890120 is an abundant number, since it is smaller than the sum of its proper divisors (23446054200).

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

10120890120 is a wasteful number, since it uses less digits than its factorization.

10120890120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4068 (or 4053 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The spelling of 10120890120 in words is "ten billion, one hundred twenty million, eight hundred ninety thousand, one hundred twenty".