21122001300312 has 80 divisors (see below), whose sum is σ = 64539448439400. Its totient is φ = 6400606452480.

The previous prime is 21122001300311. The next prime is 21122001300319. The reversal of 21122001300312 is 21300310022112.

21122001300312 is a `hidden beast` number, since 2 + 1 + 1 + 220 + 0 + 130 + 0 + 312 = 666.

It is a super-2 number, since 2×21122001300312² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122001300311) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 1481614737 + ... + 1481628992.

Almost surely, 2^{21122001300312} is an apocalyptic number.

21122001300312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21122001300312 is an abundant number, since it is smaller than the sum of its proper divisors (43417447139088).

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

21122001300312 is a wasteful number, since it uses less digits than its factorization.

21122001300312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2963243758 (or 2963243745 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21122001300312 its reverse (21300310022112), we get a palindrome (42422311322424).

The spelling of 21122001300312 in words is "twenty-one trillion, one hundred twenty-two billion, one million, three hundred thousand, three hundred twelve".