21377222277312 has 112 divisors (see below), whose sum is σ = 62313352867584. Its totient is φ = 6413808000000.

The previous prime is 21377222277293. The next prime is 21377222277317.

21377222277312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (21377222277317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49894564 + ... + 50321187.

It is an arithmetic number, because the mean of its divisors is an integer number (556369222032).

Almost surely, 2^{21377222277312} is an apocalyptic number.

21377222277312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21377222277312 is an abundant number, since it is smaller than the sum of its proper divisors (40936130590272).

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

21377222277312 is a wasteful number, since it uses less digits than its factorization.

21377222277312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100215878 (or 100215868 counting only the distinct ones).

The product of its digits is 1382976, while the sum is 48.

The spelling of 21377222277312 in words is "twenty-one trillion, three hundred seventy-seven billion, two hundred twenty-two million, two hundred seventy-seven thousand, three hundred twelve".