412112323401000 has 256 divisors, whose sum is σ = 1295651248819200. Its totient is φ = 109054561824000.

The previous prime is 412112323400977. The next prime is 412112323401041. The reversal of 412112323401000 is 104323211214.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 888395119 + ... + 888858881.

It is an arithmetic number, because the mean of its divisors is an integer number (5061137690700).

Almost surely, 2^{412112323401000} is an apocalyptic number.

412112323401000 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 412112323401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647825624409600).

412112323401000 is an abundant number, since it is smaller than the sum of its proper divisors (883538925418200).

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

412112323401000 is a wasteful number, since it uses less digits than its factorization.

412112323401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466057 (or 466043 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 412112323401000 its reverse (104323211214), we get a palindrome (412216646612214).

The spelling of 412112323401000 in words is "four hundred twelve trillion, one hundred twelve billion, three hundred twenty-three million, four hundred one thousand".