127121280 has 256 divisors, whose sum is σ = 477066240. Its totient is φ = 28385280.

The previous prime is 127121237. The next prime is 127121303. The reversal of 127121280 is 82121721.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 127121280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274329 + ... + 274791.

It is an arithmetic number, because the mean of its divisors is an integer number (1863540).

Almost surely, 2^127121280 is an apocalyptic number.

127121280 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 127121280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238533120).

127121280 is an abundant number, since it is smaller than the sum of its proper divisors (349944960).

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

127121280 is a wasteful number, since it uses less digits than its factorization.

127121280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 127121280 is about 11274.8073154267. The cubic root of 127121280 is about 502.8125230972.

The spelling of 127121280 in words is "one hundred twenty-seven million, one hundred twenty-one thousand, two hundred eighty".