10120023040 has 88 divisors (see below), whose sum is σ = 24639362352. Its totient is φ = 3987456000.

The previous prime is 10120022999. The next prime is 10120023049. The reversal of 10120023040 is 4032002101.

It is a super-3 number, since 3×10120023040³ (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10120023040.

It is not an unprimeable number, because it can be changed into a prime (10120023049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 328290 + ... + 357790.

It is an arithmetic number, because the mean of its divisors is an integer number (279992754).

Almost surely, 2^10120023040 is an apocalyptic number.

10120023040 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 10120023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12319681176).

10120023040 is an abundant number, since it is smaller than the sum of its proper divisors (14519339312).

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

10120023040 is an equidigital number, since it uses as much as digits as its factorization.

10120023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29593 (or 29575 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10120023040 its reverse (4032002101), we get a palindrome (14152025141).

The spelling of 10120023040 in words is "ten billion, one hundred twenty million, twenty-three thousand, forty".