221132120133000 has 128 divisors (see below), whose sum is σ = 690043176800640. Its totient is φ = 58959081440000.

The previous prime is 221132120132999. The next prime is 221132120133019. The reversal of 221132120133000 is 331021231122.

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, 12738655 + ... + 24587345.

It is an arithmetic number, because the mean of its divisors is an integer number (5390962318755).

Almost surely, 2^{221132120133000} is an apocalyptic number.

221132120133000 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 221132120133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345021588400320).

221132120133000 is an abundant number, since it is smaller than the sum of its proper divisors (468911056667640).

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

221132120133000 is a wasteful number, since it uses less digits than its factorization.

221132120133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11854936 (or 11854922 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 221132120133000 its reverse (331021231122), we get a palindrome (221463141364122).

The spelling of 221132120133000 in words is "two hundred twenty-one trillion, one hundred thirty-two billion, one hundred twenty million, one hundred thirty-three thousand".