1251188149120 has 256 divisors, whose sum is σ = 3702689988480. Its totient is φ = 393688350720.

The previous prime is 1251188149097. The next prime is 1251188149153. The reversal of 1251188149120 is 219418811521.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10013430 + ... + 10137610.

Almost surely, 2^{1251188149120} is an apocalyptic number.

1251188149120 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 1251188149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851344994240).

1251188149120 is an abundant number, since it is smaller than the sum of its proper divisors (2451501839360).

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

1251188149120 is a wasteful number, since it uses less digits than its factorization.

1251188149120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124393 (or 124381 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 43.

The spelling of 1251188149120 in words is "one trillion, two hundred fifty-one billion, one hundred eighty-eight million, one hundred forty-nine thousand, one hundred twenty".