11332012133200 has 120 divisors (see below), whose sum is σ = 29752377333120. Its totient is φ = 4113488716800.

The previous prime is 11332012133179. The next prime is 11332012133201. The reversal of 11332012133200 is 233121023311.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11332012133201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240457 + ... + 4766743.

It is an arithmetic number, because the mean of its divisors is an integer number (247936477776).

Almost surely, 2^{11332012133200} is an apocalyptic number.

11332012133200 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 11332012133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14876188666560).

11332012133200 is an abundant number, since it is smaller than the sum of its proper divisors (18420365199920).

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

11332012133200 is a wasteful number, since it uses less digits than its factorization.

11332012133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4526885 (or 4526874 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 11332012133200 its reverse (233121023311), we get a palindrome (11565133156511).

The spelling of 11332012133200 in words is "eleven trillion, three hundred thirty-two billion, twelve million, one hundred thirty-three thousand, two hundred".