220117376512 has 120 divisors (see below), whose sum is σ = 483970570776. Its totient is φ = 99939840000.

The previous prime is 220117376489. The next prime is 220117376543. The reversal of 220117376512 is 215673711022.

It is a super-2 number, since 2×220117376512² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80598187 + ... + 80600917.

Almost surely, 2^220117376512 is an apocalyptic number.

220117376512 is a gapful number since it is divisible by the number (22) 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 220117376512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241985285388).

220117376512 is an abundant number, since it is smaller than the sum of its proper divisors (263853194264).

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

220117376512 is a wasteful number, since it uses less digits than its factorization.

220117376512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4072 (or 4045 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 37.

The spelling of 220117376512 in words is "two hundred twenty billion, one hundred seventeen million, three hundred seventy-six thousand, five hundred twelve".