104275121284512 has 240 divisors, whose sum is σ = 310393765281600. Its totient is φ = 34336421987328.

The previous prime is 104275121284487. The next prime is 104275121284517. The reversal of 104275121284512 is 215482121572401.

104275121284512 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 7 + 5 + 1 + 2 + 128 + 4 + 512 = 666.

It is not an unprimeable number, because it can be changed into a prime (104275121284517) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3915246748 + ... + 3915273380.

It is an arithmetic number, because the mean of its divisors is an integer number (1293307355340).

Almost surely, 2^{104275121284512} is an apocalyptic number.

104275121284512 is a gapful number since it is divisible by the number (12) 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 104275121284512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155196882640800).

104275121284512 is an abundant number, since it is smaller than the sum of its proper divisors (206118643997088).

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

104275121284512 is a wasteful number, since it uses less digits than its factorization.

104275121284512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44937 (or 44920 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 104275121284512 in words is "one hundred four trillion, two hundred seventy-five billion, one hundred twenty-one million, two hundred eighty-four thousand, five hundred twelve".