212113200 has 120 divisors (see below), whose sum is σ = 731789968. Its totient is φ = 52208640.

The previous prime is 212113189. The next prime is 212113219. The reversal of 212113200 is 2311212.

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

It is a super-2 number, since 2×212113200² = 89984019228480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 8802 + ... + 22398.

Almost surely, 2^212113200 is an apocalyptic number.

212113200 is a gapful number since it is divisible by the number (20) 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 212113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365894984).

212113200 is an abundant number, since it is smaller than the sum of its proper divisors (519676768).

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

212113200 is a wasteful number, since it uses less digits than its factorization.

212113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13631 (or 13620 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 212113200 is about 14564.1065637409. The cubic root of 212113200 is about 596.3793060189.

Adding to 212113200 its reverse (2311212), we get a palindrome (214424412).

The spelling of 212113200 in words is "two hundred twelve million, one hundred thirteen thousand, two hundred".