127412178432 has 960 divisors, whose sum is σ = 468098611200. Its totient is φ = 29826662400.

The previous prime is 127412178427. The next prime is 127412178533. The reversal of 127412178432 is 234871214721.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2159528419 + ... + 2159528477.

It is an arithmetic number, because the mean of its divisors is an integer number (487602720).

Almost surely, 2^127412178432 is an apocalyptic number.

127412178432 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 127412178432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234049305600).

127412178432 is an abundant number, since it is smaller than the sum of its proper divisors (340686432768).

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

127412178432 is a wasteful number, since it uses less digits than its factorization.

127412178432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 132 counting only the distinct ones).

The product of its digits is 150528, while the sum is 42.

The spelling of 127412178432 in words is "one hundred twenty-seven billion, four hundred twelve million, one hundred seventy-eight thousand, four hundred thirty-two".