1121200311 has 96 divisors (see below), whose sum is σ = 1964666880. Its totient is φ = 562161600.

The previous prime is 1121200277. The next prime is 1121200321. The reversal of 1121200311 is 1130021211.

It is not a de Polignac number, because 1121200311 - 2⁹ = 1121199799 is a prime.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 8558716 + ... + 8558846.

It is an arithmetic number, because the mean of its divisors is an integer number (20465280).

Almost surely, 2^1121200311 is an apocalyptic number.

1121200311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1121200311 is a deficient number, since it is larger than the sum of its proper divisors (843466569).

1121200311 is a wasteful number, since it uses less digits than its factorization.

1121200311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 298 counting only the distinct ones).

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

The square root of 1121200311 is about 33484.3293347799. The cubic root of 1121200311 is about 1038.8696764776.

Adding to 1121200311 its reverse (1130021211), we get a palindrome (2251221522).

Subtracting 1121200311 from its reverse (1130021211), we obtain a square (8820900 = 2970²).

The spelling of 1121200311 in words is "one billion, one hundred twenty-one million, two hundred thousand, three hundred eleven".