114127188000 has 768 divisors, whose sum is σ = 455704704000. Its totient is φ = 24374476800.

The previous prime is 114127187989. The next prime is 114127188013. The reversal of 114127188000 is 881721411.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 327011826 + ... + 327012174.

It is an arithmetic number, because the mean of its divisors is an integer number (593365500).

Almost surely, 2^114127188000 is an apocalyptic number.

114127188000 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 114127188000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227852352000).

114127188000 is an abundant number, since it is smaller than the sum of its proper divisors (341577516000).

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

114127188000 is a wasteful number, since it uses less digits than its factorization.

114127188000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 33.

The spelling of 114127188000 in words is "one hundred fourteen billion, one hundred twenty-seven million, one hundred eighty-eight thousand".