1123942089600 has 576 divisors, whose sum is σ = 4521290046000. Its totient is φ = 272468275200.

The previous prime is 1123942089539. The next prime is 1123942089631. The reversal of 1123942089600 is 69802493211.

1123942089600 is a `hidden beast` number, since 1 + 1 + 2 + 39 + 4 + 2 + 0 + 8 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10400646 + ... + 10508154.

Almost surely, 2^{1123942089600} is an apocalyptic number.

1123942089600 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 1123942089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2260645023000).

1123942089600 is an abundant number, since it is smaller than the sum of its proper divisors (3397347956400).

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

1123942089600 is a wasteful number, since it uses less digits than its factorization.

1123942089600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107564 (or 107530 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 1123942089600 in words is "one trillion, one hundred twenty-three billion, nine hundred forty-two million, eighty-nine thousand, six hundred".