10120334240 has 96 divisors (see below), whose sum is σ = 24300440640. Its totient is φ = 3982454784.

The previous prime is 10120334233. The next prime is 10120334281. The reversal of 10120334240 is 4243302101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2511107 + ... + 2515133.

It is an arithmetic number, because the mean of its divisors is an integer number (253129590).

Almost surely, 2^10120334240 is an apocalyptic number.

10120334240 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 10120334240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12150220320).

10120334240 is an abundant number, since it is smaller than the sum of its proper divisors (14180106400).

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

10120334240 is a wasteful number, since it uses less digits than its factorization.

10120334240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4294 (or 4286 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10120334240 its reverse (4243302101), we get a palindrome (14363636341).

The spelling of 10120334240 in words is "ten billion, one hundred twenty million, three hundred thirty-four thousand, two hundred forty".