221600117120 has 64 divisors (see below), whose sum is σ = 530115697440. Its totient is φ = 88580997120.

The previous prime is 221600117113. The next prime is 221600117143. The reversal of 221600117120 is 21711006122.

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

It is a super-2 number, since 2×221600117120² (a number of 23 digits) contains 22 as substring.

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, 852464 + ... + 1081616.

Almost surely, 2^221600117120 is an apocalyptic number.

221600117120 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 221600117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265057848720).

221600117120 is an abundant number, since it is smaller than the sum of its proper divisors (308515580320).

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

221600117120 is a wasteful number, since it uses less digits than its factorization.

221600117120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230683 (or 230671 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 23.

The spelling of 221600117120 in words is "two hundred twenty-one billion, six hundred million, one hundred seventeen thousand, one hundred twenty".