1251141200 has 60 divisors (see below), whose sum is σ = 3109546140. Its totient is φ = 483194880.

The previous prime is 1251141191. The next prime is 1251141209. The reversal of 1251141200 is 21411521.

It is an interprime number because it is at equal distance from previous prime (1251141191) and next prime (1251141209).

It can be written as a sum of positive squares in 6 ways, for example, as 66129424 + 1185011776 = 8132^2 + 34424^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1251141209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42329 + ... + 65528.

It is an arithmetic number, because the mean of its divisors is an integer number (51825769).

Almost surely, 2^1251141200 is an apocalyptic number.

1251141200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1251141200 is an abundant number, since it is smaller than the sum of its proper divisors (1858404940).

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

1251141200 is a wasteful number, since it uses less digits than its factorization.

1251141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107904 (or 107893 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 1251141200 is about 35371.4743826152. The cubic root of 1251141200 is about 1077.5450640871.

Adding to 1251141200 its reverse (21411521), we get a palindrome (1272552721).

The spelling of 1251141200 in words is "one billion, two hundred fifty-one million, one hundred forty-one thousand, two hundred".