1012120112000 has 128 divisors (see below), whose sum is σ = 2521056545280. Its totient is φ = 404096256000.

The previous prime is 1012120111999. The next prime is 1012120112021. The reversal of 1012120112000 is 2110212101.

1012120112000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1012120112000² (a number of 25 digits) contains 22 as substring.

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, 8597537 + ... + 8714463.

It is an arithmetic number, because the mean of its divisors is an integer number (19695754260).

Almost surely, 2^{1012120112000} is an apocalyptic number.

1012120112000 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 1012120112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260528272640).

1012120112000 is an abundant number, since it is smaller than the sum of its proper divisors (1508936433280).

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

1012120112000 is an equidigital number, since it uses as much as digits as its factorization.

1012120112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117497 (or 117475 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1012120112000 its reverse (2110212101), we get a palindrome (1014230324101).

The spelling of 1012120112000 in words is "one trillion, twelve billion, one hundred twenty million, one hundred twelve thousand".