1123974144000 has 672 divisors, whose sum is σ = 4203060484896. Its totient is φ = 299660083200.

The previous prime is 1123974143959. The next prime is 1123974144011. The reversal of 1123974144000 is 4414793211.

1123974144000 is a `hidden beast` number, since 1 + 1 + 239 + 7 + 4 + 14 + 400 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248829742 + ... + 248834258.

It is an arithmetic number, because the mean of its divisors is an integer number (6254554293).

Almost surely, 2^{1123974144000} is an apocalyptic number.

1123974144000 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 1123974144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2101530242448).

1123974144000 is an abundant number, since it is smaller than the sum of its proper divisors (3079086340896).

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

1123974144000 is an frugal number, since it uses more digits than its factorization.

1123974144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4573 (or 4527 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 1123974144000 in words is "one trillion, one hundred twenty-three billion, nine hundred seventy-four million, one hundred forty-four thousand".