220202111121120 has 144 divisors (see below), whose sum is σ = 751446366823152. Its totient is φ = 58720042321920.

The previous prime is 220202111121089. The next prime is 220202111121149. The reversal of 220202111121120 is 21121111202022.

220202111121120 is a `hidden beast` number, since 220 + 2 + 0 + 211 + 1 + 1 + 211 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220202111121093 and 220202111121102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178164475 + ... + 179396165.

It is an arithmetic number, because the mean of its divisors is an integer number (5218377547383).

Almost surely, 2^{220202111121120} is an apocalyptic number.

220202111121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220202111121120 is an abundant number, since it is smaller than the sum of its proper divisors (531244255702032).

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

220202111121120 is a wasteful number, since it uses less digits than its factorization.

220202111121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355865 (or 1355854 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 220202111121120 its reverse (21121111202022), we get a palindrome (241323222323142).

The spelling of 220202111121120 in words is "two hundred twenty trillion, two hundred two billion, one hundred eleven million, one hundred twenty-one thousand, one hundred twenty".