12075575271408 has 480 divisors, whose sum is σ = 39495627475200. Its totient is φ = 3405290803200.

The previous prime is 12075575271281. The next prime is 12075575271433. The reversal of 12075575271408 is 80417257557021.

12075575271408 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 5 + 575 + 27 + 1 + 40 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4220751898 + ... + 4220754758.

It is an arithmetic number, because the mean of its divisors is an integer number (82282557240).

Almost surely, 2^{12075575271408} is an apocalyptic number.

12075575271408 is a gapful number since it is divisible by the number (18) 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 12075575271408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19747813737600).

12075575271408 is an abundant number, since it is smaller than the sum of its proper divisors (27420052203792).

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

12075575271408 is a wasteful number, since it uses less digits than its factorization.

12075575271408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5341 (or 5332 counting only the distinct ones).

The product of its (nonzero) digits is 5488000, while the sum is 54.

The spelling of 12075575271408 in words is "twelve trillion, seventy-five billion, five hundred seventy-five million, two hundred seventy-one thousand, four hundred eight".