1141323200 has 168 divisors, whose sum is σ = 2937253968. Its totient is φ = 436101120.

The previous prime is 1141323173. The next prime is 1141323241. The reversal of 1141323200 is 23231411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3646244 + ... + 3646556.

Almost surely, 2^1141323200 is an apocalyptic number.

1141323200 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 1141323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468626984).

1141323200 is an abundant number, since it is smaller than the sum of its proper divisors (1795930768).

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

1141323200 is a wasteful number, since it uses less digits than its factorization.

1141323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1141323200 is about 33783.4752504830. The cubic root of 1141323200 is about 1045.0479438944.

Adding to 1141323200 its reverse (23231411), we get a palindrome (1164554611).

The spelling of 1141323200 in words is "one billion, one hundred forty-one million, three hundred twenty-three thousand, two hundred".