20120417707456 has 112 divisors (see below), whose sum is σ = 45884445696000. Its totient is φ = 8657513072640.

The previous prime is 20120417707451. The next prime is 20120417707459. The reversal of 20120417707456 is 65470771402102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20120417707451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16519860 + ... + 17695948.

Almost surely, 2^{20120417707456} 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 20120417707456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22942222848000).

20120417707456 is an abundant number, since it is smaller than the sum of its proper divisors (25764027988544).

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

20120417707456 is a wasteful number, since it uses less digits than its factorization.

20120417707456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177410 (or 1177400 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 46.

The spelling of 20120417707456 in words is "twenty trillion, one hundred twenty billion, four hundred seventeen million, seven hundred seven thousand, four hundred fifty-six".