221997957120 has 912 divisors, whose sum is σ = 865652362848. Its totient is φ = 54358179840.

The previous prime is 221997957067. The next prime is 221997957131. The reversal of 221997957120 is 21759799122.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5414584300 + ... + 5414584340.

Almost surely, 2^221997957120 is an apocalyptic number.

221997957120 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 221997957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432826181424).

221997957120 is an abundant number, since it is smaller than the sum of its proper divisors (643654405728).

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

221997957120 is an frugal number, since it uses more digits than its factorization.

221997957120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 54.

The spelling of 221997957120 in words is "two hundred twenty-one billion, nine hundred ninety-seven million, nine hundred fifty-seven thousand, one hundred twenty".