220120000201000 has 64 divisors (see below), whose sum is σ = 515091879553680. Its totient is φ = 88046106220800.

The previous prime is 220120000200967. The next prime is 220120000201007. The reversal of 220120000201000 is 102000021022.

It can be written as a sum of positive squares in 8 ways, for example, as 919953376164 + 219200046824836 = 959142^2 + 14805406^2 .

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

It is not an unprimeable number, because it can be changed into a prime (220120000201007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44613154 + ... + 49300846.

Almost surely, 2^{220120000201000} is an apocalyptic number.

220120000201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220120000201000 is an abundant number, since it is smaller than the sum of its proper divisors (294971879352680).

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

220120000201000 is a wasteful number, since it uses less digits than its factorization.

220120000201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4734671 (or 4734657 counting only the distinct ones).

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

Adding to 220120000201000 its reverse (102000021022), we get a palindrome (220222000222022).

The spelling of 220120000201000 in words is "two hundred twenty trillion, one hundred twenty billion, two hundred one thousand".