220001210120120 has 128 divisors (see below), whose sum is σ = 581648820641280. Its totient is φ = 73832952384000.

The previous prime is 220001210120059. The next prime is 220001210120179. The reversal of 220001210120120 is 21021012100022.

It is a junction number, because it is equal to n+sod(n) for n = 220001210120095 and 220001210120104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27524375 + ... + 34606265.

It is an arithmetic number, because the mean of its divisors is an integer number (4544131411260).

Almost surely, 2^{220001210120120} is an apocalyptic number.

220001210120120 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 220001210120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290824410320640).

220001210120120 is an abundant number, since it is smaller than the sum of its proper divisors (361647610521160).

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

220001210120120 is a wasteful number, since it uses less digits than its factorization.

220001210120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7087357 (or 7087353 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 220001210120120 its reverse (21021012100022), we get a palindrome (241022222220142).

The spelling of 220001210120120 in words is "two hundred twenty trillion, one billion, two hundred ten million, one hundred twenty thousand, one hundred twenty".