221459951120 has 40 divisors (see below), whose sum is σ = 514948599960. Its totient is φ = 88574653440.

The previous prime is 221459951113. The next prime is 221459951123. The reversal of 221459951120 is 21159954122.

It can be written as a sum of positive squares in 4 ways, for example, as 25373941264 + 196086009856 = 159292^2 + 442816^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (221459951123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 645500 + ... + 927140.

It is an arithmetic number, because the mean of its divisors is an integer number (12873714999).

Almost surely, 2^221459951120 is an apocalyptic number.

221459951120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221459951120 is an abundant number, since it is smaller than the sum of its proper divisors (293488648840).

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

221459951120 is a wasteful number, since it uses less digits than its factorization.

221459951120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291483 (or 291477 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 41.

The spelling of 221459951120 in words is "two hundred twenty-one billion, four hundred fifty-nine million, nine hundred fifty-one thousand, one hundred twenty".