1251461120 has 384 divisors, whose sum is σ = 3962649600. Its totient is φ = 368050176.

The previous prime is 1251461083. The next prime is 1251461131. The reversal of 1251461120 is 211641521.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15841241 + ... + 15841319.

It is an arithmetic number, because the mean of its divisors is an integer number (10319400).

Almost surely, 2^1251461120 is an apocalyptic number.

1251461120 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 1251461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981324800).

1251461120 is an abundant number, since it is smaller than the sum of its proper divisors (2711188480).

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

1251461120 is a wasteful number, since it uses less digits than its factorization.

1251461120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 1251461120 is about 35375.9963817275. The cubic root of 1251461120 is about 1077.6368999349.

The spelling of 1251461120 in words is "one billion, two hundred fifty-one million, four hundred sixty-one thousand, one hundred twenty".