12162212100 has 144 divisors (see below), whose sum is σ = 39837450240. Its totient is φ = 3182025600.

The previous prime is 12162212089. The next prime is 12162212119. The reversal of 12162212100 is 121226121.

12162212100 is a `hidden beast` number, since 1 + 21 + 622 + 1 + 21 + 0 + 0 = 666.

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, 100605 + ... + 185595.

It is an arithmetic number, because the mean of its divisors is an integer number (276648960).

Almost surely, 2^12162212100 is an apocalyptic number.

12162212100 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 12162212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19918725120).

12162212100 is an abundant number, since it is smaller than the sum of its proper divisors (27675238140).

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

12162212100 is a wasteful number, since it uses less digits than its factorization.

12162212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85067 (or 85054 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12162212100 its reverse (121226121), we get a palindrome (12283438221).

The spelling of 12162212100 in words is "twelve billion, one hundred sixty-two million, two hundred twelve thousand, one hundred".