220120201000000 has 294 divisors, whose sum is σ = 635136357455250. Its totient is φ = 75469766400000.

The previous prime is 220120200999983. The next prime is 220120201000027. The reversal of 220120201000000 is 102021022.

It can be written as a sum of positive squares in 7 ways, for example, as 214911143383104 + 5209057616896 = 14659848^2 + 2282336^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 46753876 + ... + 51246124.

Almost surely, 2^{220120201000000} is an apocalyptic number.

220120201000000 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 220120201000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317568178727625).

220120201000000 is an abundant number, since it is smaller than the sum of its proper divisors (415016156455250).

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

220120201000000 is an frugal number, since it uses more digits than its factorization.

220120201000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4492305 (or 4492263 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 220120201000000 its reverse (102021022), we get a palindrome (220120303021022).

The spelling of 220120201000000 in words is "two hundred twenty trillion, one hundred twenty billion, two hundred one million", and thus it is an aban number.