1121344400 has 120 divisors (see below), whose sum is σ = 3034115328. Its totient is φ = 394560000.

The previous prime is 1121344391. The next prime is 1121344409. The reversal of 1121344400 is 44431211.

It is an interprime number because it is at equal distance from previous prime (1121344391) and next prime (1121344409).

It is a super-2 number, since 2×1121344400² = 2514826526822720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1121344409) 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, 132290 + ... + 140510.

Almost surely, 2^1121344400 is an apocalyptic number.

1121344400 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 1121344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517057664).

1121344400 is an abundant number, since it is smaller than the sum of its proper divisors (1912770928).

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

1121344400 is a wasteful number, since it uses less digits than its factorization.

1121344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8281 (or 8270 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1121344400 is about 33486.4808542194. The cubic root of 1121344400 is about 1038.9141773812.

Adding to 1121344400 its reverse (44431211), we get a palindrome (1165775611).

The spelling of 1121344400 in words is "one billion, one hundred twenty-one million, three hundred forty-four thousand, four hundred".