127012914 has 64 divisors (see below), whose sum is σ = 324430080. Its totient is φ = 36080640.

The previous prime is 127012913. The next prime is 127012937. The reversal of 127012914 is 419210721.

It is a super-2 number, since 2×127012914² = 32264560645542792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (127012913) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72084 + ... + 73824.

It is an arithmetic number, because the mean of its divisors is an integer number (5069220).

Almost surely, 2^127012914 is an apocalyptic number.

127012914 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 127012914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162215040).

127012914 is an abundant number, since it is smaller than the sum of its proper divisors (197417166).

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

127012914 is a wasteful number, since it uses less digits than its factorization.

127012914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 127012914 is about 11270.0006211180. Note that the first 3 decimals coincide. The cubic root of 127012914 is about 502.6696063693.

The spelling of 127012914 in words is "one hundred twenty-seven million, twelve thousand, nine hundred fourteen".