1251541120 has 32 divisors (see below), whose sum is σ = 2991967020. Its totient is φ = 500616192.

The previous prime is 1251541103. The next prime is 1251541141. The reversal of 1251541120 is 211451521.

It can be written as a sum of positive squares in 2 ways, for example, as 1240730176 + 10810944 = 35224^2 + 3288^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 1251541091 and 1251541100.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 977127 + ... + 978406.

Almost surely, 2^1251541120 is an apocalyptic number.

1251541120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1251541120 is an abundant number, since it is smaller than the sum of its proper divisors (1740425900).

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

1251541120 is an equidigital number, since it uses as much as digits as its factorization.

1251541120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1955552 (or 1955540 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 22.

The square root of 1251541120 is about 35377.1270738595. The cubic root of 1251541120 is about 1077.6598621918.

Adding to 1251541120 its reverse (211451521), we get a palindrome (1462992641).

It can be divided in two parts, 12515 and 41120, that added together give a palindrome (53635).

The spelling of 1251541120 in words is "one billion, two hundred fifty-one million, five hundred forty-one thousand, one hundred twenty".