1123938816000 has 3328 divisors, whose sum is σ = 5440589586432. Its totient is φ = 198180864000.

The previous prime is 1123938815953. The next prime is 1123938816023. The reversal of 1123938816000 is 6188393211.

It is a tau number, because it is divible by the number of its divisors (3328).

It is a super-2 number, since 2×1123938816000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 26138111979 + ... + 26138112021.

It is an arithmetic number, because the mean of its divisors is an integer number (1634792544).

Almost surely, 2^{1123938816000} is an apocalyptic number.

1123938816000 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 1123938816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2720294793216).

1123938816000 is an abundant number, since it is smaller than the sum of its proper divisors (4316650770432).

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

1123938816000 is a wasteful number, since it uses less digits than its factorization.

1123938816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 1123938816000 in words is "one trillion, one hundred twenty-three billion, nine hundred thirty-eight million, eight hundred sixteen thousand".