221431120130000 has 200 divisors, whose sum is σ = 585541191090240. Its totient is φ = 80424401920000.

The previous prime is 221431120129991. The next prime is 221431120130041. The reversal of 221431120130000 is 31021134122.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 91090352 + ... + 93489648.

Almost surely, 2^{221431120130000} is an apocalyptic number.

221431120130000 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 221431120130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292770595545120).

221431120130000 is an abundant number, since it is smaller than the sum of its proper divisors (364110070960240).

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

221431120130000 is a wasteful number, since it uses less digits than its factorization.

221431120130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2400175 (or 2400154 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 221431120130000 its reverse (31021134122), we get a palindrome (221462141264122).

The spelling of 221431120130000 in words is "two hundred twenty-one trillion, four hundred thirty-one billion, one hundred twenty million, one hundred thirty thousand".