100412147404800 has 3120 divisors, whose sum is σ = 466358670277632. Its totient is φ = 20832613171200.

The previous prime is 100412147404783. The next prime is 100412147404853. The reversal of 100412147404800 is 8404741214001.

100412147404800 is a `hidden beast` number, since 10 + 0 + 4 + 121 + 4 + 7 + 40 + 480 + 0 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 155196518077 + ... + 155196518723.

Almost surely, 2^{100412147404800} is an apocalyptic number.

100412147404800 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 100412147404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233179335138816).

100412147404800 is an abundant number, since it is smaller than the sum of its proper divisors (365946522872832).

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

100412147404800 is an frugal number, since it uses more digits than its factorization.

100412147404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

Adding to 100412147404800 its reverse (8404741214001), we get a palindrome (108816888618801).

The spelling of 100412147404800 in words is "one hundred trillion, four hundred twelve billion, one hundred forty-seven million, four hundred four thousand, eight hundred".