1133422387200 has 504 divisors, whose sum is σ = 4075181077968. Its totient is φ = 301111050240.

The previous prime is 1133422387199. The next prime is 1133422387213. The reversal of 1133422387200 is 27832243311.

1133422387200 is a `hidden beast` number, since 1 + 1 + 33 + 42 + 2 + 387 + 200 = 666.

It is a super-2 number, since 2×1133422387200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 565861399 + ... + 565863401.

It is an arithmetic number, because the mean of its divisors is an integer number (8085676742).

Almost surely, 2^{1133422387200} is an apocalyptic number.

1133422387200 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 1133422387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2037590538984).

1133422387200 is an abundant number, since it is smaller than the sum of its proper divisors (2941758690768).

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

1133422387200 is a wasteful number, since it uses less digits than its factorization.

1133422387200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 1133422387200 in words is "one trillion, one hundred thirty-three billion, four hundred twenty-two million, three hundred eighty-seven thousand, two hundred".