12121122100212 has 48 divisors (see below), whose sum is σ = 33079085659200. Its totient is φ = 3827722767840.

The previous prime is 12121122100211. The next prime is 12121122100223. The reversal of 12121122100212 is 21200122112121.

12121122100212 is a `hidden beast` number, since 1 + 21 + 211 + 221 + 0 + 0 + 212 = 666.

12121122100212 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121122100211) 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, 2953487739 + ... + 2953491842.

It is an arithmetic number, because the mean of its divisors is an integer number (689147617900).

Almost surely, 2^{12121122100212} is an apocalyptic number.

12121122100212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12121122100212 is an abundant number, since it is smaller than the sum of its proper divisors (20957963558988).

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

12121122100212 is a wasteful number, since it uses less digits than its factorization.

12121122100212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5906979613 (or 5906979605 counting only the distinct ones).

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

Adding to 12121122100212 its reverse (21200122112121), we get a palindrome (33321244212333).

The spelling of 12121122100212 in words is "twelve trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred thousand, two hundred twelve".