12220000100000 has 1152 divisors, whose sum is σ = 39902906050560. Its totient is φ = 3568320000000.

The previous prime is 12220000099973. The next prime is 12220000100041. The reversal of 12220000100000 is 100002221.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14776299587 + ... + 14776300413.

It is an arithmetic number, because the mean of its divisors is an integer number (34637939280).

Almost surely, 2^{12220000100000} is an apocalyptic number.

12220000100000 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 12220000100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19951453025280).

12220000100000 is an abundant number, since it is smaller than the sum of its proper divisors (27682905950560).

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

12220000100000 is a wasteful number, since it uses less digits than its factorization.

12220000100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 12220000100000 its reverse (100002221), we get a palindrome (12220100102221).

The spelling of 12220000100000 in words is "twelve trillion, two hundred twenty billion, one hundred thousand".