1123055894400 has 384 divisors, whose sum is σ = 4039770188160. Its totient is φ = 271957401600.

The previous prime is 1123055894399. The next prime is 1123055894413. The reversal of 1123055894400 is 44985503211.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1123055894400² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105277867 + ... + 105288533.

It is an arithmetic number, because the mean of its divisors is an integer number (10520234865).

Almost surely, 2^{1123055894400} is an apocalyptic number.

1123055894400 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 1123055894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2019885094080).

1123055894400 is an abundant number, since it is smaller than the sum of its proper divisors (2916714293760).

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

1123055894400 is a wasteful number, since it uses less digits than its factorization.

1123055894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11702 (or 11685 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 1123055894400 in words is "one trillion, one hundred twenty-three billion, fifty-five million, eight hundred ninety-four thousand, four hundred".