1251140000 has 240 divisors, whose sum is σ = 3457593216. Its totient is φ = 445280000.

The previous prime is 1251139999. The next prime is 1251140003. The reversal of 1251140000 is 411521.

It is not an unprimeable number, because it can be changed into a prime (1251140003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26619977 + ... + 26620023.

Almost surely, 2^1251140000 is an apocalyptic number.

1251140000 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 1251140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728796608).

1251140000 is an abundant number, since it is smaller than the sum of its proper divisors (2206453216).

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

1251140000 is an frugal number, since it uses more digits than its factorization.

1251140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 1251140000 is about 35371.4574197898. The cubic root of 1251140000 is about 1077.5447195871.

Adding to 1251140000 its reverse (411521), we get a palindrome (1251551521).

The spelling of 1251140000 in words is "one billion, two hundred fifty-one million, one hundred forty thousand".