10412400120 has 256 divisors, whose sum is σ = 33359040000. Its totient is φ = 2595403776.

The previous prime is 10412400113. The next prime is 10412400151. The reversal of 10412400120 is 2100421401.

10412400120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10412400120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22296127 + ... + 22296593.

It is an arithmetic number, because the mean of its divisors is an integer number (130308750).

Almost surely, 2^10412400120 is an apocalyptic number.

10412400120 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 10412400120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16679520000).

10412400120 is an abundant number, since it is smaller than the sum of its proper divisors (22946639880).

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

10412400120 is a wasteful number, since it uses less digits than its factorization.

10412400120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10412400120 its reverse (2100421401), we get a palindrome (12512821521).

The spelling of 10412400120 in words is "ten billion, four hundred twelve million, four hundred thousand, one hundred twenty".