1123011993600 has 1680 divisors, whose sum is σ = 5014534852800. Its totient is φ = 242700779520.

The previous prime is 1123011993599. The next prime is 1123011993667. The reversal of 1123011993600 is 63991103211.

1123011993600 is a `hidden beast` number, since 1 + 1 + 2 + 30 + 1 + 19 + 9 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×1123011993600² (a number of 25 digits) contains 22 as substring.

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2206310146 + ... + 2206310654.

Almost surely, 2^{1123011993600} is an apocalyptic number.

1123011993600 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 1123011993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2507267426400).

1123011993600 is an abundant number, since it is smaller than the sum of its proper divisors (3891522859200).

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

1123011993600 is an equidigital number, since it uses as much as digits as its factorization.

1123011993600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The spelling of 1123011993600 in words is "one trillion, one hundred twenty-three billion, eleven million, nine hundred ninety-three thousand, six hundred".