125001280 has 56 divisors (see below), whose sum is σ = 298615608. Its totient is φ = 49840128.

The previous prime is 125001271. The next prime is 125001307. The reversal of 125001280 is 82100521.

It can be written as a sum of positive squares in 4 ways, for example, as 91546624 + 33454656 = 9568^2 + 5784^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184302 + ... + 184978.

Almost surely, 2^125001280 is an apocalyptic number.

125001280 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 125001280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149307804).

125001280 is an abundant number, since it is smaller than the sum of its proper divisors (173614328).

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

125001280 is an equidigital number, since it uses as much as digits as its factorization.

125001280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 125001280 is about 11180.3971306926. The cubic root of 125001280 is about 500.0017066608.

It can be divided in two parts, 12500 and 1280, that multiplied together give a square (16000000 = 4000²).

The spelling of 125001280 in words is "one hundred twenty-five million, one thousand, two hundred eighty".