1251104000000 has 168 divisors, whose sum is σ = 3127036340610. Its totient is φ = 500428800000.

The previous prime is 1251103999969. The next prime is 1251104000011. The reversal of 1251104000000 is 4011521.

It can be written as a sum of positive squares in 7 ways, for example, as 724051231744 + 527052768256 = 850912^2 + 725984^2 .

It is a super-2 number, since 2×1251104000000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 13 ways as a sum of consecutive naturals, for example, 31980452 + ... + 32019548.

Almost surely, 2^{1251104000000} is an apocalyptic number.

1251104000000 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 1251104000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563518170305).

1251104000000 is an abundant number, since it is smaller than the sum of its proper divisors (1875932340610).

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

1251104000000 is an frugal number, since it uses more digits than its factorization.

1251104000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39149 (or 39104 counting only the distinct ones).

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

Adding to 1251104000000 its reverse (4011521), we get a palindrome (1251108011521).

The spelling of 1251104000000 in words is "one trillion, two hundred fifty-one billion, one hundred four million", and thus it is an aban number.