127234800000 has 2304 divisors, whose sum is σ = 626494901760. Its totient is φ = 24883200000.

The previous prime is 127234799971. The next prime is 127234800019. The reversal of 127234800000 is 8432721.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7484399992 + ... + 7484400008.

It is an arithmetic number, because the mean of its divisors is an integer number (271916190).

Almost surely, 2^127234800000 is an apocalyptic number.

127234800000 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 127234800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313247450880).

127234800000 is an abundant number, since it is smaller than the sum of its proper divisors (499260101760).

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

127234800000 is an frugal number, since it uses more digits than its factorization.

127234800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 127234800000 in words is "one hundred twenty-seven billion, two hundred thirty-four million, eight hundred thousand".