221220112132000 has 192 divisors, whose sum is σ = 546259172659200. Its totient is φ = 88046112844800.

The previous prime is 221220112131901. The next prime is 221220112132001. The reversal of 221220112132000 is 231211022122.

It is not an unprimeable number, because it can be changed into a prime (221220112132001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 641735686 + ... + 642080314.

It is an arithmetic number, because the mean of its divisors is an integer number (2845099857600).

Almost surely, 2^{221220112132000} is an apocalyptic number.

221220112132000 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 221220112132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273129586329600).

221220112132000 is an abundant number, since it is smaller than the sum of its proper divisors (325039060527200).

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

221220112132000 is a wasteful number, since it uses less digits than its factorization.

221220112132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345456 (or 345438 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 221220112132000 its reverse (231211022122), we get a palindrome (221451323154122).

The spelling of 221220112132000 in words is "two hundred twenty-one trillion, two hundred twenty billion, one hundred twelve million, one hundred thirty-two thousand".