1232427816000 has 672 divisors, whose sum is σ = 4657008086016. Its totient is φ = 310625280000.

The previous prime is 1232427815959. The next prime is 1232427816017. The reversal of 1232427816000 is 6187242321.

It is a happy number.

1232427816000 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 42 + 7 + 8 + 1 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 95969580 + ... + 95982420.

Almost surely, 2^{1232427816000} is an apocalyptic number.

1232427816000 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 1232427816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2328504043008).

1232427816000 is an abundant number, since it is smaller than the sum of its proper divisors (3424580270016).

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

1232427816000 is a wasteful number, since it uses less digits than its factorization.

1232427816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12948 (or 12925 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 1232427816000 in words is "one trillion, two hundred thirty-two billion, four hundred twenty-seven million, eight hundred sixteen thousand".