1120014400000 has 240 divisors, whose sum is σ = 2961731108952. Its totient is φ = 421642240000.

The previous prime is 1120014399961. The next prime is 1120014400019. The reversal of 1120014400000 is 44100211.

It can be written as a sum of positive squares in 12 ways, for example, as 495863838976 + 624150561024 = 704176^2 + 790032^2 .

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, 27179412 + ... + 27220588.

Almost surely, 2^{1120014400000} is an apocalyptic number.

1120014400000 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 1120014400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480865554476).

1120014400000 is an abundant number, since it is smaller than the sum of its proper divisors (1841716708952).

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

1120014400000 is an frugal number, since it uses more digits than its factorization.

1120014400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41237 (or 41201 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1120014400000 its reverse (44100211), we get a palindrome (1120058500211).

The spelling of 1120014400000 in words is "one trillion, one hundred twenty billion, fourteen million, four hundred thousand".