1123236400 has 240 divisors, whose sum is σ = 3225731040. Its totient is φ = 370483200.

The previous prime is 1123236397. The next prime is 1123236419. The reversal of 1123236400 is 46323211.

It is a super-3 number, since 3×1123236400³ (a number of 28 digits) contains 333 as substring.

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

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, 4175466 + ... + 4175734.

It is an arithmetic number, because the mean of its divisors is an integer number (13440546).

Almost surely, 2^1123236400 is an apocalyptic number.

1123236400 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 1123236400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612865520).

1123236400 is an abundant number, since it is smaller than the sum of its proper divisors (2102494640).

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

1123236400 is a wasteful number, since it uses less digits than its factorization.

1123236400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 1123236400 is about 33514.7191544253. The cubic root of 1123236400 is about 1039.4981553132.

Adding to 1123236400 its reverse (46323211), we get a palindrome (1169559611).

The spelling of 1123236400 in words is "one billion, one hundred twenty-three million, two hundred thirty-six thousand, four hundred".