10020007776120 has 128 divisors (see below), whose sum is σ = 30217952793600. Its totient is φ = 2658000070656.

The previous prime is 10020007776073. The next prime is 10020007776133. The reversal of 10020007776120 is 2167770002001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17470957 + ... + 18035363.

It is an arithmetic number, because the mean of its divisors is an integer number (236077756200).

Almost surely, 2^{10020007776120} is an apocalyptic number.

10020007776120 is a gapful number since it is divisible by the number (10) 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 10020007776120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15108976396800).

10020007776120 is an abundant number, since it is smaller than the sum of its proper divisors (20197945017480).

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

10020007776120 is a wasteful number, since it uses less digits than its factorization.

10020007776120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565197 (or 565193 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 33.

Adding to 10020007776120 its reverse (2167770002001), we get a palindrome (12187777778121).

The spelling of 10020007776120 in words is "ten trillion, twenty billion, seven million, seven hundred seventy-six thousand, one hundred twenty".