213220112000 has 256 divisors, whose sum is σ = 608637818880. Its totient is φ = 72767692800.

The previous prime is 213220111963. The next prime is 213220112023. The reversal of 213220112000 is 211022312.

It is a happy number.

It is a super-2 number, since 2×213220112000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24971732 + ... + 24980268.

It is an arithmetic number, because the mean of its divisors is an integer number (2377491480).

Almost surely, 2^213220112000 is an apocalyptic number.

213220112000 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 213220112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304318909440).

213220112000 is an abundant number, since it is smaller than the sum of its proper divisors (395417706880).

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

213220112000 is an equidigital number, since it uses as much as digits as its factorization.

213220112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8796 (or 8774 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 213220112000 its reverse (211022312), we get a palindrome (213431134312).

The spelling of 213220112000 in words is "two hundred thirteen billion, two hundred twenty million, one hundred twelve thousand".