1213536320400 has 120 divisors (see below), whose sum is σ = 3887731865664. Its totient is φ = 323578841600.

The previous prime is 1213536320389. The next prime is 1213536320401. The reversal of 1213536320400 is 40236353121.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1213536320401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14334997 + ... + 14419403.

Almost surely, 2^{1213536320400} is an apocalyptic number.

1213536320400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1213536320400 is an abundant number, since it is smaller than the sum of its proper divisors (2674195545264).

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

1213536320400 is a wasteful number, since it uses less digits than its factorization.

1213536320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96409 (or 96398 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 1213536320400 in words is "one trillion, two hundred thirteen billion, five hundred thirty-six million, three hundred twenty thousand, four hundred".