127394208000000 has 2352 divisors, whose sum is σ = 492335548024320. Its totient is φ = 32920473600000.

The previous prime is 127394207999921. The next prime is 127394208000071. The reversal of 127394208000000 is 802493721.

127394208000000 is a `hidden beast` number, since 127 + 39 + 420 + 80 + 0 + 0 + 0 + 0 + 0 = 666.

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 195 ways as a sum of consecutive naturals, for example, 1003103999937 + ... + 1003104000063.

Almost surely, 2^{127394208000000} is an apocalyptic number.

127394208000000 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 127394208000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246167774012160).

127394208000000 is an abundant number, since it is smaller than the sum of its proper divisors (364941340024320).

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

127394208000000 is an frugal number, since it uses more digits than its factorization.

127394208000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 127394208000000 in words is "one hundred twenty-seven trillion, three hundred ninety-four billion, two hundred eight million", and thus it is an aban number.