1133322214200 has 384 divisors, whose sum is σ = 4144504734720. Its totient is φ = 253080371200.

The previous prime is 1133322214169. The next prime is 1133322214261. The reversal of 1133322214200 is 24122233311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5165944 + ... + 5380856.

It is an arithmetic number, because the mean of its divisors is an integer number (10792981080).

Almost surely, 2^{1133322214200} is an apocalyptic number.

1133322214200 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 1133322214200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072252367360).

1133322214200 is an abundant number, since it is smaller than the sum of its proper divisors (3011182520520).

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

1133322214200 is a wasteful number, since it uses less digits than its factorization.

1133322214200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215007 (or 214998 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1133322214200 its reverse (24122233311), we get a palindrome (1157444447511).

The spelling of 1133322214200 in words is "one trillion, one hundred thirty-three billion, three hundred twenty-two million, two hundred fourteen thousand, two hundred".