12201012212112 has 30 divisors (see below), whose sum is σ = 34145888344022. Its totient is φ = 4067004070656.

The previous prime is 12201012212099. The next prime is 12201012212167. The reversal of 12201012212112 is 21121221010221.

12201012212112 is a `hidden beast` number, since 1 + 220 + 10 + 1 + 221 + 211 + 2 = 666.

12201012212112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11863781139456 + 337231072656 = 3444384^2 + 580716^2 .

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 5 ways as a sum of consecutive naturals, for example, 42364625593 + ... + 42364625880.

Almost surely, 2^{12201012212112} is an apocalyptic number.

12201012212112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12201012212112 is an abundant number, since it is smaller than the sum of its proper divisors (21944876131910).

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

12201012212112 is a wasteful number, since it uses less digits than its factorization.

12201012212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84729251487 (or 84729251478 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12201012212112 its reverse (21121221010221), we get a palindrome (33322233222333).

The spelling of 12201012212112 in words is "twelve trillion, two hundred one billion, twelve million, two hundred twelve thousand, one hundred twelve".