1212868800 has 1008 divisors, whose sum is σ = 5502981120. Its totient is φ = 248832000.

The previous prime is 1212868777. The next prime is 1212868823. The reversal of 1212868800 is 88682121.

It is an interprime number because it is at equal distance from previous prime (1212868777) and next prime (1212868823).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 39124785 + ... + 39124815.

Almost surely, 2^1212868800 is an apocalyptic number.

1212868800 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 1212868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2751490560).

1212868800 is an abundant number, since it is smaller than the sum of its proper divisors (4290112320).

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

1212868800 is a wasteful number, since it uses less digits than its factorization.

1212868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 1212868800 is about 34826.2659497110. The cubic root of 1212868800 is about 1066.4437207660.

The spelling of 1212868800 in words is "one billion, two hundred twelve million, eight hundred sixty-eight thousand, eight hundred".