1123158400 has 576 divisors, whose sum is σ = 3784914000. Its totient is φ = 325140480.

The previous prime is 1123158391. The next prime is 1123158403. The reversal of 1123158400 is 48513211.

It is a super-2 number, since 2×1123158400² = 2522969582981120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123158403) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38729586 + ... + 38729614.

Almost surely, 2^1123158400 is an apocalyptic number.

1123158400 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 1123158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892457000).

1123158400 is an abundant number, since it is smaller than the sum of its proper divisors (2661755600).

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

1123158400 is a wasteful number, since it uses less digits than its factorization.

1123158400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 1123158400 is about 33513.5554664079. Note that the first 3 decimals coincide. The cubic root of 1123158400 is about 1039.4740930787.

The spelling of 1123158400 in words is "one billion, one hundred twenty-three million, one hundred fifty-eight thousand, four hundred".