1251142000 has 80 divisors (see below), whose sum is σ = 3062116512. Its totient is φ = 494361600.

The previous prime is 1251141977. The next prime is 1251142007. The reversal of 1251142000 is 2411521.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1251142007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162232 + ... + 169768.

Almost surely, 2^1251142000 is an apocalyptic number.

1251142000 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 1251142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531058256).

1251142000 is an abundant number, since it is smaller than the sum of its proper divisors (1810974512).

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

1251142000 is an equidigital number, since it uses as much as digits as its factorization.

1251142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7643 (or 7627 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 1251142000 is about 35371.4856911609. The cubic root of 1251142000 is about 1077.5452937537.

Adding to 1251142000 its reverse (2411521), we get a palindrome (1253553521).

The spelling of 1251142000 in words is "one billion, two hundred fifty-one million, one hundred forty-two thousand".