201212220010120 has 512 divisors, whose sum is σ = 523130064076800. Its totient is φ = 68985100800000.

The previous prime is 201212220010117. The next prime is 201212220010163. The reversal of 201212220010120 is 21010022212102.

It is a happy number.

201212220010120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201212220010094 and 201212220010103.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59372149386 + ... + 59372152774.

It is an arithmetic number, because the mean of its divisors is an integer number (1021738406400).

Almost surely, 2^{201212220010120} is an apocalyptic number.

201212220010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201212220010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261565032038400).

201212220010120 is an abundant number, since it is smaller than the sum of its proper divisors (321917844066680).

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

201212220010120 is a wasteful number, since it uses less digits than its factorization.

201212220010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4221 (or 4217 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 201212220010120 its reverse (21010022212102), we get a palindrome (222222242222222).

The spelling of 201212220010120 in words is "two hundred one trillion, two hundred twelve billion, two hundred twenty million, ten thousand, one hundred twenty".