221531125120 has 64 divisors (see below), whose sum is σ = 529970641200. Its totient is φ = 88550074368.

The previous prime is 221531125111. The next prime is 221531125139. The reversal of 221531125120 is 21521135122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 793447 + ... + 1035673.

Almost surely, 2^221531125120 is an apocalyptic number.

221531125120 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 221531125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264985320600).

221531125120 is an abundant number, since it is smaller than the sum of its proper divisors (308439516080).

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

221531125120 is a wasteful number, since it uses less digits than its factorization.

221531125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243675 (or 243663 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The spelling of 221531125120 in words is "two hundred twenty-one billion, five hundred thirty-one million, one hundred twenty-five thousand, one hundred twenty".