12410001120 has 96 divisors (see below), whose sum is σ = 42645294720. Its totient is φ = 3008483840.

The previous prime is 12410001113. The next prime is 12410001151. The reversal of 12410001120 is 2110001421.

It is a happy number.

12410001120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12410001096 and 12410001105.

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 15 ways as a sum of consecutive naturals, for example, 1169910 + ... + 1180469.

It is an arithmetic number, because the mean of its divisors is an integer number (444221820).

Almost surely, 2^12410001120 is an apocalyptic number.

12410001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12410001120 is an abundant number, since it is smaller than the sum of its proper divisors (30235293600).

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

12410001120 is a wasteful number, since it uses less digits than its factorization.

12410001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350408 (or 2350400 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12410001120 its reverse (2110001421), we get a palindrome (14520002541).

The spelling of 12410001120 in words is "twelve billion, four hundred ten million, one thousand, one hundred twenty".