1121894400 has 360 divisors, whose sum is σ = 4095612864. Its totient is φ = 268697600.

The previous prime is 1121894393. The next prime is 1121894401. The reversal of 1121894400 is 44981211.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1121894401) 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, 13516759 + ... + 13516841.

Almost surely, 2^1121894400 is an apocalyptic number.

1121894400 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 1121894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047806432).

1121894400 is an abundant number, since it is smaller than the sum of its proper divisors (2973718464).

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

1121894400 is an equidigital number, since it uses as much as digits as its factorization.

1121894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 1121894400 is about 33494.6921168116. The cubic root of 1121894400 is about 1039.0840060862.

The spelling of 1121894400 in words is "one billion, one hundred twenty-one million, eight hundred ninety-four thousand, four hundred".