220201221002112 has 256 divisors, whose sum is σ = 742986704678400. Its totient is φ = 62893924761600.

The previous prime is 220201221002111. The next prime is 220201221002117. The reversal of 220201221002112 is 211200122102022.

It is a happy number.

220201221002112 is a `hidden beast` number, since 220 + 20 + 1 + 2 + 210 + 0 + 211 + 2 = 666.

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 (220201221002111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72071287 + ... + 75064457.

It is an arithmetic number, because the mean of its divisors is an integer number (2902291815150).

Almost surely, 2^{220201221002112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220201221002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371493352339200).

220201221002112 is an abundant number, since it is smaller than the sum of its proper divisors (522785483676288).

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

220201221002112 is a wasteful number, since it uses less digits than its factorization.

220201221002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2996242 (or 2996224 counting only the distinct ones).

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

Adding to 220201221002112 its reverse (211200122102022), we get a palindrome (431401343104134).

The spelling of 220201221002112 in words is "two hundred twenty trillion, two hundred one billion, two hundred twenty-one million, two thousand, one hundred twelve".