1213417200 has 120 divisors (see below), whose sum is σ = 3894786928. Its totient is φ = 322928640.

The previous prime is 1213417123. The next prime is 1213417223. The reversal of 1213417200 is 27143121.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1051824 + ... + 1052976.

Almost surely, 2^1213417200 is an apocalyptic number.

1213417200 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 1213417200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1947393464).

1213417200 is an abundant number, since it is smaller than the sum of its proper divisors (2681369728).

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

1213417200 is a wasteful number, since it uses less digits than its factorization.

1213417200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 1213417200 is about 34834.1384276976. The cubic root of 1213417200 is about 1066.6044277921.

The spelling of 1213417200 in words is "one billion, two hundred thirteen million, four hundred seventeen thousand, two hundred".