220120221002112 has 128 divisors (see below), whose sum is σ = 649722172195200. Its totient is φ = 73366427496960.

The previous prime is 220120221002057. The next prime is 220120221002117. The reversal of 220120221002112 is 211200122021022.

It is a happy number.

220120221002112 is a `hidden beast` number, since 220 + 1 + 20 + 2 + 210 + 0 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220120221002117) 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, 33371103 + ... + 39419169.

It is an arithmetic number, because the mean of its divisors is an integer number (5075954470275).

Almost surely, 2^{220120221002112} is an apocalyptic number.

It is an amenable number.

220120221002112 is an abundant number, since it is smaller than the sum of its proper divisors (429601951193088).

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

220120221002112 is a wasteful number, since it uses less digits than its factorization.

220120221002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6058621 (or 6058603 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220120221002112 its reverse (211200122021022), we get a palindrome (431320343023134).

The spelling of 220120221002112 in words is "two hundred twenty trillion, one hundred twenty billion, two hundred twenty-one million, two thousand, one hundred twelve".