1251195840 has 168 divisors, whose sum is σ = 4327812528. Its totient is φ = 331776000.

The previous prime is 1251195821. The next prime is 1251195853. The reversal of 1251195840 is 485911521.

1251195840 is a `hidden beast` number, since 12 + 51 + 19 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1251195795 and 1251195804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 554715 + ... + 556965.

Almost surely, 2^1251195840 is an apocalyptic number.

1251195840 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 1251195840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2163906264).

1251195840 is an abundant number, since it is smaller than the sum of its proper divisors (3076616688).

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

1251195840 is a wasteful number, since it uses less digits than its factorization.

1251195840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2467 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 1251195840 is about 35372.2467479803. The cubic root of 1251195840 is about 1077.5607500878.

The spelling of 1251195840 in words is "one billion, two hundred fifty-one million, one hundred ninety-five thousand, eight hundred forty".