127149921600 has 504 divisors, whose sum is σ = 462853625472. Its totient is φ = 30527078400.

The previous prime is 127149921599. The next prime is 127149921617. The reversal of 127149921600 is 6129941721.

It is a super-2 number, since 2×127149921600² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33257289 + ... + 33261111.

It is an arithmetic number, because the mean of its divisors is an integer number (918360368).

Almost surely, 2^127149921600 is an apocalyptic number.

127149921600 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 127149921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231426812736).

127149921600 is an abundant number, since it is smaller than the sum of its proper divisors (335703703872).

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

127149921600 is a wasteful number, since it uses less digits than its factorization.

127149921600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3915 (or 3887 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The spelling of 127149921600 in words is "one hundred twenty-seven billion, one hundred forty-nine million, nine hundred twenty-one thousand, six hundred".