12410496000 has 1232 divisors, whose sum is σ = 55844780160. Its totient is φ = 2687385600.

The previous prime is 12410495989. The next prime is 12410496013. The reversal of 12410496000 is 69401421.

12410496000 is a `hidden beast` number, since 1 + 2 + 4 + 10 + 49 + 600 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 653183991 + ... + 653184009.

Almost surely, 2^12410496000 is an apocalyptic number.

12410496000 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 12410496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27922390080).

12410496000 is an abundant number, since it is smaller than the sum of its proper divisors (43434284160).

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

12410496000 is an frugal number, since it uses more digits than its factorization.

12410496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 12410496000 its reverse (69401421), we get a palindrome (12479897421).

The spelling of 12410496000 in words is "twelve billion, four hundred ten million, four hundred ninety-six thousand".