1121021200 has 120 divisors (see below), whose sum is σ = 2918064968. Its totient is φ = 411402240.

The previous prime is 1121021197. The next prime is 1121021263. The reversal of 1121021200 is 21201211.

It can be written as a sum of positive squares in 12 ways, for example, as 935625744 + 185395456 = 30588^2 + 13616^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1003042 + ... + 1004158.

Almost surely, 2^1121021200 is an apocalyptic number.

1121021200 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 1121021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459032484).

1121021200 is an abundant number, since it is smaller than the sum of its proper divisors (1797043768).

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

1121021200 is a wasteful number, since it uses less digits than its factorization.

1121021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1121021200 is about 33481.6546783459. The cubic root of 1121021200 is about 1038.8143539529.

Adding to 1121021200 its reverse (21201211), we get a palindrome (1142222411).

The spelling of 1121021200 in words is "one billion, one hundred twenty-one million, twenty-one thousand, two hundred".