1121137200 has 150 divisors (see below), whose sum is σ = 4023787724. Its totient is φ = 298961280.

The previous prime is 1121137189. The next prime is 1121137211. The reversal of 1121137200 is 27311211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1121137189) and next prime (1121137211).

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 15099 + ... + 49701.

Almost surely, 2^1121137200 is an apocalyptic number.

1121137200 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 1121137200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011893862).

1121137200 is an abundant number, since it is smaller than the sum of its proper divisors (2902650524).

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

1121137200 is a wasteful number, since it uses less digits than its factorization.

1121137200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34633 (or 34613 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 1121137200 is about 33483.3869254590. The cubic root of 1121137200 is about 1038.8501838756.

Adding to 1121137200 its reverse (27311211), we get a palindrome (1148448411).

The spelling of 1121137200 in words is "one billion, one hundred twenty-one million, one hundred thirty-seven thousand, two hundred".