1012012120 has 64 divisors (see below), whose sum is σ = 2635315200. Its totient is φ = 342576000.

The previous prime is 1012012097. The next prime is 1012012187. The reversal of 1012012120 is 212102101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1012012097 and 1012012106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 756 + ... + 44995.

It is an arithmetic number, because the mean of its divisors is an integer number (41176800).

Almost surely, 2^1012012120 is an apocalyptic number.

1012012120 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 1012012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317657600).

1012012120 is an abundant number, since it is smaller than the sum of its proper divisors (1623303080).

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

1012012120 is a wasteful number, since it uses less digits than its factorization.

1012012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45848 (or 45844 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1012012120 is about 31812.1379350713. The cubic root of 1012012120 is about 1003.9881138046.

Adding to 1012012120 its reverse (212102101), we get a palindrome (1224114221).

The spelling of 1012012120 in words is "one billion, twelve million, twelve thousand, one hundred twenty".