202112202120012 has 144 divisors (see below), whose sum is σ = 530418446638080. Its totient is φ = 67294246981248.

The previous prime is 202112202119999. The next prime is 202112202120041. The reversal of 202112202120012 is 210021202211202.

It is a happy number.

202112202120012 is a `hidden beast` number, since 2 + 0 + 211 + 220 + 21 + 200 + 12 = 666.

202112202120012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7790612713 + ... + 7790638655.

Almost surely, 2^{202112202120012} 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 202112202120012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265209223319040).

202112202120012 is an abundant number, since it is smaller than the sum of its proper divisors (328306244518068).

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

202112202120012 is a wasteful number, since it uses less digits than its factorization.

202112202120012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34754 (or 34740 counting only the distinct ones).

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

Adding to 202112202120012 its reverse (210021202211202), we get a palindrome (412133404331214).

The spelling of 202112202120012 in words is "two hundred two trillion, one hundred twelve billion, two hundred two million, one hundred twenty thousand, twelve".