21121626667000 has 64 divisors (see below), whose sum is σ = 49813776829440. Its totient is φ = 8382125808000.

The previous prime is 21121626666977. The next prime is 21121626667033. The reversal of 21121626667000 is 76662612112.

It is a happy number.

It is a super-2 number, since 2×21121626667000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 83029011 + ... + 83283010.

It is an arithmetic number, because the mean of its divisors is an integer number (778340262960).

Almost surely, 2^{21121626667000} is an apocalyptic number.

21121626667000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121626667000 is an abundant number, since it is smaller than the sum of its proper divisors (28692150162440).

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

21121626667000 is a wasteful number, since it uses less digits than its factorization.

21121626667000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166312169 (or 166312155 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 21121626667000 in words is "twenty-one trillion, one hundred twenty-one billion, six hundred twenty-six million, six hundred sixty-seven thousand".