220010000000120 has 256 divisors, whose sum is σ = 551582112153600. Its totient is φ = 78308406927360.

The previous prime is 220010000000101. The next prime is 220010000000239. The reversal of 220010000000120 is 21000000010022.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 220010000000098 and 220010000000107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22525847477 + ... + 22525857243.

It is an arithmetic number, because the mean of its divisors is an integer number (2154617625600).

Almost surely, 2^{220010000000120} is an apocalyptic number.

220010000000120 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 220010000000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275791056076800).

220010000000120 is an abundant number, since it is smaller than the sum of its proper divisors (331572112153480).

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

220010000000120 is a wasteful number, since it uses less digits than its factorization.

220010000000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15118 (or 15114 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 220010000000120 its reverse (21000000010022), we get a palindrome (241010000010142).

The spelling of 220010000000120 in words is "two hundred twenty trillion, ten billion, one hundred twenty", and thus it is an aban number.