10120011209984 has 108 divisors (see below), whose sum is σ = 21885660953100. Its totient is φ = 4668264087552.

The previous prime is 10120011209929. The next prime is 10120011209989. The reversal of 10120011209984 is 48990211002101.

It can be written as a sum of positive squares in 6 ways, for example, as 1430722192384 + 8689289017600 = 1196128^2 + 2947760^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120011209989) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81663782 + ... + 81787610.

It is an arithmetic number, because the mean of its divisors is an integer number (202645008825).

Almost surely, 2^{10120011209984} 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 10120011209984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10942830476550).

10120011209984 is an abundant number, since it is smaller than the sum of its proper divisors (11765649743116).

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

10120011209984 is a wasteful number, since it uses less digits than its factorization.

10120011209984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125760 (or 125733 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 38.

The spelling of 10120011209984 in words is "ten trillion, one hundred twenty billion, eleven million, two hundred nine thousand, nine hundred eighty-four".