104270228712000 has 672 divisors, whose sum is σ = 415534947216480. Its totient is φ = 24781459046400.

The previous prime is 104270228711939. The next prime is 104270228712007. The reversal of 104270228712000 is 217822072401.

104270228712000 is a `hidden beast` number, since 1 + 0 + 427 + 0 + 2 + 28 + 7 + 1 + 200 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 101920654771776 + 2349573940224 = 10095576^2 + 1532832^2 .

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

It is not an unprimeable number, because it can be changed into a prime (104270228712007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25223314 + ... + 29064686.

It is an arithmetic number, because the mean of its divisors is an integer number (618355576215).

Almost surely, 2^{104270228712000} is an apocalyptic number.

104270228712000 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 104270228712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207767473608240).

104270228712000 is an abundant number, since it is smaller than the sum of its proper divisors (311264718504480).

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

104270228712000 is a wasteful number, since it uses less digits than its factorization.

104270228712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3841448 (or 3841425 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 104270228712000 in words is "one hundred four trillion, two hundred seventy billion, two hundred twenty-eight million, seven hundred twelve thousand".