220013100121200 has 120 divisors (see below), whose sum is σ = 705501125323776. Its totient is φ = 58609737312000.

The previous prime is 220013100121189. The next prime is 220013100121219. The reversal of 220013100121200 is 2121001310022.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 220013100121200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93244816 + ... + 95575215.

Almost surely, 2^{220013100121200} is an apocalyptic number.

220013100121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220013100121200 is an abundant number, since it is smaller than the sum of its proper divisors (485488025202576).

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

220013100121200 is a wasteful number, since it uses less digits than its factorization.

220013100121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188821023 (or 188821012 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 220013100121200 its reverse (2121001310022), we get a palindrome (222134101431222).

The spelling of 220013100121200 in words is "two hundred twenty trillion, thirteen billion, one hundred million, one hundred twenty-one thousand, two hundred".