12410003252000 has 192 divisors, whose sum is σ = 30711002370048. Its totient is φ = 4928284800000.

The previous prime is 12410003251973. The next prime is 12410003252039. The reversal of 12410003252000 is 25230001421.

12410003252000 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 (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1275039134 + ... + 1275048866.

It is an arithmetic number, because the mean of its divisors is an integer number (159953137344).

Almost surely, 2^{12410003252000} is an apocalyptic number.

12410003252000 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 12410003252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15355501185024).

12410003252000 is an abundant number, since it is smaller than the sum of its proper divisors (18300999118048).

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

12410003252000 is a wasteful number, since it uses less digits than its factorization.

12410003252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12020 (or 12002 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 12410003252000 its reverse (25230001421), we get a palindrome (12435233253421).

The spelling of 12410003252000 in words is "twelve trillion, four hundred ten billion, three million, two hundred fifty-two thousand".