12435456000000 has 1176 divisors, whose sum is σ = 47185293520512. Its totient is φ = 2883584000000.

The previous prime is 12435455999969. The next prime is 12435456000007. The reversal of 12435456000000 is 65453421.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12435456000007) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 540671999989 + ... + 540672000011.

It is an arithmetic number, because the mean of its divisors is an integer number (40123548912).

Almost surely, 2^{12435456000000} is an apocalyptic number.

12435456000000 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 12435456000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23592646760256).

12435456000000 is an abundant number, since it is smaller than the sum of its proper divisors (34749837520512).

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

12435456000000 is an frugal number, since it uses more digits than its factorization.

12435456000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 12435456000000 in words is "twelve trillion, four hundred thirty-five billion, four hundred fifty-six million", and thus it is an aban number.