1012120156008 has 160 divisors (see below), whose sum is σ = 3056725832160. Its totient is φ = 311035489920.

The previous prime is 1012120155997. The next prime is 1012120156031. The reversal of 1012120156008 is 8006510212101.

1012120156008 is a `hidden beast` number, since 1 + 0 + 1 + 21 + 20 + 15 + 600 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6757791 + ... + 6905937.

It is an arithmetic number, because the mean of its divisors is an integer number (19104536451).

Almost surely, 2^{1012120156008} is an apocalyptic number.

1012120156008 is a gapful number since it is divisible by the number (18) 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 1012120156008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528362916080).

1012120156008 is an abundant number, since it is smaller than the sum of its proper divisors (2044605676152).

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

1012120156008 is a wasteful number, since it uses less digits than its factorization.

1012120156008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148989 (or 148976 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

Adding to 1012120156008 its reverse (8006510212101), we get a palindrome (9018630368109).

The spelling of 1012120156008 in words is "one trillion, twelve billion, one hundred twenty million, one hundred fifty-six thousand, eight".