20122712064 has 960 divisors, whose sum is σ = 78137579520. Its totient is φ = 5016453120.

The previous prime is 20122712063. The next prime is 20122712069. The reversal of 20122712064 is 46021722102.

It is a super-2 number, since 2×20122712064² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122712063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 467970027 + ... + 467970069.

It is an arithmetic number, because the mean of its divisors is an integer number (81393312).

Almost surely, 2^20122712064 is an apocalyptic number.

20122712064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20122712064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39068789760).

20122712064 is an abundant number, since it is smaller than the sum of its proper divisors (58014867456).

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

20122712064 is a wasteful number, since it uses less digits than its factorization.

20122712064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 20122712064 in words is "twenty billion, one hundred twenty-two million, seven hundred twelve thousand, sixty-four".