1216354400 has 36 divisors (see below), whose sum is σ = 2969427132. Its totient is φ = 486541440.

The previous prime is 1216354361. The next prime is 1216354423. The reversal of 1216354400 is 44536121.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1216354400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 759422 + ... + 761021.

It is an arithmetic number, because the mean of its divisors is an integer number (82484087).

Almost surely, 2^1216354400 is an apocalyptic number.

1216354400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1216354400 is an abundant number, since it is smaller than the sum of its proper divisors (1753072732).

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

1216354400 is a wasteful number, since it uses less digits than its factorization.

1216354400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520463 (or 1520450 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 1216354400 is about 34876.2727366329. The cubic root of 1216354400 is about 1067.4643425685.

The spelling of 1216354400 in words is "one billion, two hundred sixteen million, three hundred fifty-four thousand, four hundred".