221623227477120 has 256 divisors, whose sum is σ = 810097204250880. Its totient is φ = 50483846922240.

The previous prime is 221623227477107. The next prime is 221623227477173. The reversal of 221623227477120 is 21774722326122.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 221623227477120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24201711 + ... + 32077550.

It is an arithmetic number, because the mean of its divisors is an integer number (3164442204105).

Almost surely, 2^{221623227477120} is an apocalyptic number.

221623227477120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221623227477120 is an abundant number, since it is smaller than the sum of its proper divisors (588473976773760).

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

221623227477120 is a wasteful number, since it uses less digits than its factorization.

221623227477120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56279583 (or 56279571 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 48.

The spelling of 221623227477120 in words is "two hundred twenty-one trillion, six hundred twenty-three billion, two hundred twenty-seven million, four hundred seventy-seven thousand, one hundred twenty".