1121200320 has 448 divisors, whose sum is σ = 4108216320. Its totient is φ = 257359872.

The previous prime is 1121200277. The next prime is 1121200321. The reversal of 1121200320 is 230021211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1121200296 and 1121200305.

It is not an unprimeable number, because it can be changed into a prime (1121200321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10885389 + ... + 10885491.

Almost surely, 2^1121200320 is an apocalyptic number.

1121200320 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 1121200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054108160).

1121200320 is an abundant number, since it is smaller than the sum of its proper divisors (2987016000).

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

1121200320 is a wasteful number, since it uses less digits than its factorization.

1121200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1121200320 is about 33484.3294691711. The cubic root of 1121200320 is about 1038.8696792573.

Adding to 1121200320 its reverse (230021211), we get a palindrome (1351221531).

The spelling of 1121200320 in words is "one billion, one hundred twenty-one million, two hundred thousand, three hundred twenty".