12220000112100 has 576 divisors, whose sum is σ = 41375171819520. Its totient is φ = 2754396057600.

The previous prime is 12220000112081. The next prime is 12220000112147. The reversal of 12220000112100 is 121100002221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5849687856 + ... + 5849689944.

It is an arithmetic number, because the mean of its divisors is an integer number (71831895520).

Almost surely, 2^{12220000112100} is an apocalyptic number.

12220000112100 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 12220000112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20687585909760).

12220000112100 is an abundant number, since it is smaller than the sum of its proper divisors (29155171707420).

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

12220000112100 is a wasteful number, since it uses less digits than its factorization.

12220000112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4260 (or 4253 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12220000112100 its reverse (121100002221), we get a palindrome (12341100114321).

The spelling of 12220000112100 in words is "twelve trillion, two hundred twenty billion, one hundred twelve thousand, one hundred".