12002121122100 has 72 divisors (see below), whose sum is σ = 34726700161440. Its totient is φ = 3200513738880.

The previous prime is 12002121122027. The next prime is 12002121122119. The reversal of 12002121122100 is 122112120021.

It is a super-2 number, since 2×12002121122100² (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 12002121122100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20415874 + ... + 20995526.

It is an arithmetic number, because the mean of its divisors is an integer number (482315280020).

Almost surely, 2^{12002121122100} is an apocalyptic number.

12002121122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002121122100 is an abundant number, since it is smaller than the sum of its proper divisors (22724579039340).

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

12002121122100 is a wasteful number, since it uses less digits than its factorization.

12002121122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648689 (or 648682 counting only the distinct ones).

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

Adding to 12002121122100 its reverse (122112120021), we get a palindrome (12124233242121).

The spelling of 12002121122100 in words is "twelve trillion, two billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred".