220120010000 has 400 divisors, whose sum is σ = 600564507840. Its totient is φ = 77441280000.

The previous prime is 220120009987. The next prime is 220120010023. The reversal of 220120010000 is 10021022.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a self number, because there is not a number n which added to its sum of digits gives 220120010000.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 818289866 + ... + 818290134.

Almost surely, 2^220120010000 is an apocalyptic number.

220120010000 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 220120010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300282253920).

220120010000 is an abundant number, since it is smaller than the sum of its proper divisors (380444497840).

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

220120010000 is a wasteful number, since it uses less digits than its factorization.

220120010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 503 counting only the distinct ones).

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

Adding to 220120010000 its reverse (10021022), we get a palindrome (220130031022).

The spelling of 220120010000 in words is "two hundred twenty billion, one hundred twenty million, ten thousand".