220012002201120 has 96 divisors (see below), whose sum is σ = 711768558529728. Its totient is φ = 57084195161088.

The previous prime is 220012002201107. The next prime is 220012002201133. The reversal of 220012002201120 is 21102200210022.

It is an interprime number because it is at equal distance from previous prime (220012002201107) and next prime (220012002201133).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×220012002201120² (a number of 29 digits) contains 22 as substring.

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 220012002201120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6194013834 + ... + 6194049353.

It is an arithmetic number, because the mean of its divisors is an integer number (7414255818018).

Almost surely, 2^{220012002201120} is an apocalyptic number.

220012002201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220012002201120 is an abundant number, since it is smaller than the sum of its proper divisors (491756556328608).

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

220012002201120 is a wasteful number, since it uses less digits than its factorization.

220012002201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12388063242 (or 12388063234 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 220012002201120 its reverse (21102200210022), we get a palindrome (241114202411142).

The spelling of 220012002201120 in words is "two hundred twenty trillion, twelve billion, two million, two hundred one thousand, one hundred twenty".