20125936512 has 384 divisors, whose sum is σ = 66696739200. Its totient is φ = 5989386240.

The previous prime is 20125936483. The next prime is 20125936531. The reversal of 20125936512 is 21563952102.

It is a happy number.

20125936512 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 593 + 65 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×20125936512² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20185998 + ... + 20186994.

It is an arithmetic number, because the mean of its divisors is an integer number (173689425).

Almost surely, 2^20125936512 is an apocalyptic number.

20125936512 is a gapful number since it is divisible by the number (22) 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 20125936512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33348369600).

20125936512 is an abundant number, since it is smaller than the sum of its proper divisors (46570802688).

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

20125936512 is an equidigital number, since it uses as much as digits as its factorization.

20125936512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 20125936512 in words is "twenty billion, one hundred twenty-five million, nine hundred thirty-six thousand, five hundred twelve".