12210120122100 has 144 divisors (see below), whose sum is σ = 36552667979520. Its totient is φ = 3143194611200.

The previous prime is 12210120122099. The next prime is 12210120122117. The reversal of 12210120122100 is 122102101221.

It is a super-2 number, since 2×12210120122100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12210120122100.

It is a congruent number.

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, 49824469 + ... + 50068931.

It is an arithmetic number, because the mean of its divisors is an integer number (253837972080).

Almost surely, 2^{12210120122100} is an apocalyptic number.

12210120122100 is a gapful number since it is divisible by the number (10) 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 12210120122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18276333989760).

12210120122100 is an abundant number, since it is smaller than the sum of its proper divisors (24342547857420).

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

12210120122100 is a wasteful number, since it uses less digits than its factorization.

12210120122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250250 (or 250243 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12210120122100 its reverse (122102101221), we get a palindrome (12332222223321).

The spelling of 12210120122100 in words is "twelve trillion, two hundred ten billion, one hundred twenty million, one hundred twenty-two thousand, one hundred".