22121002211000 has 128 divisors (see below), whose sum is σ = 64535869532160. Its totient is φ = 6894857808000.

The previous prime is 22121002210943. The next prime is 22121002211053. The reversal of 22121002211000 is 11220012122.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143565872 + ... + 143719871.

It is an arithmetic number, because the mean of its divisors is an integer number (504186480720).

Almost surely, 2^{22121002211000} is an apocalyptic number.

22121002211000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22121002211000 is an abundant number, since it is smaller than the sum of its proper divisors (42414867321160).

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

22121002211000 is a wasteful number, since it uses less digits than its factorization.

22121002211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287285782 (or 287285768 counting only the distinct ones).

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

Adding to 22121002211000 its reverse (11220012122), we get a palindrome (22132222223122).

The spelling of 22121002211000 in words is "twenty-two trillion, one hundred twenty-one billion, two million, two hundred eleven thousand".