412121832192 has 216 divisors, whose sum is σ = 1358585120256. Its totient is φ = 117698254848.

The previous prime is 412121832191. The next prime is 412121832197. The reversal of 412121832192 is 291238121214.

It is a happy number.

412121832192 is a `hidden beast` number, since 412 + 1 + 21 + 8 + 3 + 219 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (412121832191) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 53331433 + ... + 53339159.

Almost surely, 2^412121832192 is an apocalyptic number.

412121832192 is a gapful number since it is divisible by the number (42) 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 412121832192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679292560128).

412121832192 is an abundant number, since it is smaller than the sum of its proper divisors (946463288064).

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

412121832192 is a wasteful number, since it uses less digits than its factorization.

412121832192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11063 (or 11046 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The spelling of 412121832192 in words is "four hundred twelve billion, one hundred twenty-one million, eight hundred thirty-two thousand, one hundred ninety-two".