127050000 has 360 divisors, whose sum is σ = 515342016. Its totient is φ = 26400000.

The previous prime is 127049947. The next prime is 127050019. The reversal of 127050000 is 50721.

It is a happy number.

It is a super-2 number, since 2×127050000² = 32283405000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11549995 + ... + 11550005.

Almost surely, 2^127050000 is an apocalyptic number.

127050000 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 127050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257671008).

127050000 is an abundant number, since it is smaller than the sum of its proper divisors (388292016).

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

127050000 is an equidigital number, since it uses as much as digits as its factorization.

127050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 127050000 is about 11271.6458425556. The cubic root of 127050000 is about 502.7185257806.

The spelling of 127050000 in words is "one hundred twenty-seven million, fifty thousand".