1213334678400 has 192 divisors, whose sum is σ = 4303838547120. Its totient is φ = 298666967040.

The previous prime is 1213334678393. The next prime is 1213334678407. The reversal of 1213334678400 is 48764333121.

It is an interprime number because it is at equal distance from previous prime (1213334678393) and next prime (1213334678407).

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213334678407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4736317 + ... + 4985916.

Almost surely, 2^{1213334678400} is an apocalyptic number.

1213334678400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1213334678400 is an abundant number, since it is smaller than the sum of its proper divisors (3090503868720).

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

1213334678400 is a wasteful number, since it uses less digits than its factorization.

1213334678400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9722273 (or 9722256 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 1213334678400 in words is "one trillion, two hundred thirteen billion, three hundred thirty-four million, six hundred seventy-eight thousand, four hundred".