1261300180 has 96 divisors (see below), whose sum is σ = 3251808000. Its totient is φ = 409643136.

The previous prime is 1261300177. The next prime is 1261300181. The reversal of 1261300180 is 810031621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1261300181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125502 + ... + 135178.

It is an arithmetic number, because the mean of its divisors is an integer number (33873000).

Almost surely, 2^1261300180 is an apocalyptic number.

1261300180 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 1261300180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625904000).

1261300180 is an abundant number, since it is smaller than the sum of its proper divisors (1990507820).

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

1261300180 is a wasteful number, since it uses less digits than its factorization.

1261300180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9726 (or 9710 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 1261300180 is about 35514.7881874579. The cubic root of 1261300180 is about 1080.4536788509.

The spelling of 1261300180 in words is "one billion, two hundred sixty-one million, three hundred thousand, one hundred eighty".