12211121022000 has 80 divisors (see below), whose sum is σ = 39368654194272. Its totient is φ = 3256298937600.

The previous prime is 12211121021977. The next prime is 12211121022019. The reversal of 12211121022000 is 22012111221.

12211121022000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×12211121022000² (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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1017587419 + ... + 1017599418.

Almost surely, 2^{12211121022000} is an apocalyptic number.

12211121022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211121022000 is an abundant number, since it is smaller than the sum of its proper divisors (27157533172272).

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

12211121022000 is a wasteful number, since it uses less digits than its factorization.

12211121022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2035186863 (or 2035186847 counting only the distinct ones).

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

Adding to 12211121022000 its reverse (22012111221), we get a palindrome (12233133133221).

The spelling of 12211121022000 in words is "twelve trillion, two hundred eleven billion, one hundred twenty-one million, twenty-two thousand".