20129072277312 has 896 divisors, whose sum is σ = 64533995066880. Its totient is φ = 6206212472832.

The previous prime is 20129072277257. The next prime is 20129072277317. The reversal of 20129072277312 is 21377227092102.

20129072277312 is a `hidden beast` number, since 20 + 1 + 2 + 90 + 7 + 227 + 7 + 312 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20129072277317) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44046109788 + ... + 44046110244.

Almost surely, 2^{20129072277312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20129072277312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32266997533440).

20129072277312 is an abundant number, since it is smaller than the sum of its proper divisors (44404922789568).

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

20129072277312 is a wasteful number, since it uses less digits than its factorization.

20129072277312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 20129072277312 in words is "twenty trillion, one hundred twenty-nine billion, seventy-two million, two hundred seventy-seven thousand, three hundred twelve".