12122100221000 has 512 divisors, whose sum is σ = 37396543242240. Its totient is φ = 3567225600000.

The previous prime is 12122100220949. The next prime is 12122100221039. The reversal of 12122100221000 is 12200122121.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 97805069 + ... + 97928931.

It is an arithmetic number, because the mean of its divisors is an integer number (73040123520).

Almost surely, 2^{12122100221000} is an apocalyptic number.

12122100221000 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 12122100221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18698271621120).

12122100221000 is an abundant number, since it is smaller than the sum of its proper divisors (25274443021240).

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

12122100221000 is a wasteful number, since it uses less digits than its factorization.

12122100221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123974 (or 123960 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12122100221000 its reverse (12200122121), we get a palindrome (12134300343121).

The spelling of 12122100221000 in words is "twelve trillion, one hundred twenty-two billion, one hundred million, two hundred twenty-one thousand".