412230013020000 has 2400 divisors, whose sum is σ = 1747324064566080. Its totient is φ = 93361766400000.

The previous prime is 412230013019987. The next prime is 412230013020053. The reversal of 412230013020000 is 20310032214.

412230013020000 is a `hidden beast` number, since 41 + 22 + 300 + 1 + 302 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 1028005019800 + ... + 1028005020200.

Almost surely, 2^{412230013020000} is an apocalyptic number.

412230013020000 is a gapful number since it is divisible by the number (40) 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 412230013020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873662032283040).

412230013020000 is an abundant number, since it is smaller than the sum of its proper divisors (1335094051546080).

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

412230013020000 is a wasteful number, since it uses less digits than its factorization.

412230013020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 412230013020000 its reverse (20310032214), we get a palindrome (412250323052214).

The spelling of 412230013020000 in words is "four hundred twelve trillion, two hundred thirty billion, thirteen million, twenty thousand".