1213856400 has 120 divisors (see below), whose sum is σ = 3901875264. Its totient is φ = 322572800.

The previous prime is 1213856387. The next prime is 1213856431. The reversal of 1213856400 is 46583121.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 378805 + ... + 381995.

Almost surely, 2^1213856400 is an apocalyptic number.

1213856400 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 1213856400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950937632).

1213856400 is an abundant number, since it is smaller than the sum of its proper divisors (2688018864).

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

1213856400 is a wasteful number, since it uses less digits than its factorization.

1213856400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3529 (or 3518 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 1213856400 is about 34840.4420178619. The cubic root of 1213856400 is about 1066.7330991611.

The spelling of 1213856400 in words is "one billion, two hundred thirteen million, eight hundred fifty-six thousand, four hundred".