1213901256960 has 2592 divisors, whose sum is σ = 5539815590400. Its totient is φ = 244635697152.

The previous prime is 1213901256959. The next prime is 1213901256989. The reversal of 1213901256960 is 696521093121.

1213901256960 is a `hidden beast` number, since 1 + 2 + 1 + 390 + 1 + 256 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 32808142062 + ... + 32808142098.

Almost surely, 2^{1213901256960} is an apocalyptic number.

1213901256960 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 1213901256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2769907795200).

1213901256960 is an abundant number, since it is smaller than the sum of its proper divisors (4325914333440).

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

1213901256960 is a wasteful number, since it uses less digits than its factorization.

1213901256960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 1213901256960 in words is "one trillion, two hundred thirteen billion, nine hundred one million, two hundred fifty-six thousand, nine hundred sixty".