10078107822120 has 256 divisors, whose sum is σ = 34420848134400. Its totient is φ = 2340110131200.

The previous prime is 10078107822071. The next prime is 10078107822131. The reversal of 10078107822120 is 2122870187001.

It is a super-2 number, since 2×10078107822120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6176470 + ... + 7635770.

It is an arithmetic number, because the mean of its divisors is an integer number (134456438025).

Almost surely, 2^{10078107822120} is an apocalyptic number.

10078107822120 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 10078107822120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17210424067200).

10078107822120 is an abundant number, since it is smaller than the sum of its proper divisors (24342740312280).

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

10078107822120 is a wasteful number, since it uses less digits than its factorization.

10078107822120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459580 (or 1459576 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 39.

The spelling of 10078107822120 in words is "ten trillion, seventy-eight billion, one hundred seven million, eight hundred twenty-two thousand, one hundred twenty".