1012012002120 has 256 divisors, whose sum is σ = 3552139008000. Its totient is φ = 225829933056.

The previous prime is 1012012002119. The next prime is 1012012002149. The reversal of 1012012002120 is 212002102101.

1012012002120 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 1012012002096 and 1012012002105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94231711 + ... + 94242449.

It is an arithmetic number, because the mean of its divisors is an integer number (13875543000).

Almost surely, 2^{1012012002120} is an apocalyptic number.

1012012002120 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 1012012002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776069504000).

1012012002120 is an abundant number, since it is smaller than the sum of its proper divisors (2540127005880).

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

1012012002120 is a wasteful number, since it uses less digits than its factorization.

1012012002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13412 (or 13408 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1012012002120 its reverse (212002102101), we get a palindrome (1224014104221).

The spelling of 1012012002120 in words is "one trillion, twelve billion, twelve million, two thousand, one hundred twenty".