1123311402400 has 144 divisors (see below), whose sum is σ = 2992112555040. Its totient is φ = 408404505600.

The previous prime is 1123311402379. The next prime is 1123311402401. The reversal of 1123311402400 is 42041133211.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1123311402401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95359711 + ... + 95371489.

It is an arithmetic number, because the mean of its divisors is an integer number (20778559410).

Almost surely, 2^{1123311402400} is an apocalyptic number.

1123311402400 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 1123311402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496056277520).

1123311402400 is an abundant number, since it is smaller than the sum of its proper divisors (1868801152640).

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

1123311402400 is a wasteful number, since it uses less digits than its factorization.

1123311402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22647 (or 22634 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 1123311402400 its reverse (42041133211), we get a palindrome (1165352535611).

The spelling of 1123311402400 in words is "one trillion, one hundred twenty-three billion, three hundred eleven million, four hundred two thousand, four hundred".