11033220132000 has 288 divisors, whose sum is σ = 42716617804224. Its totient is φ = 2674719936000.

The previous prime is 11033220131993. The next prime is 11033220132001. The reversal of 11033220132000 is 23102233011.

11033220132000 is a `hidden beast` number, since 1 + 10 + 332 + 2 + 0 + 1 + 320 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11033220132001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13534834 + ... + 14326833.

It is an arithmetic number, because the mean of its divisors is an integer number (148321589598).

Almost surely, 2^{11033220132000} is an apocalyptic number.

11033220132000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11033220132000 is an abundant number, since it is smaller than the sum of its proper divisors (31683397672224).

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

11033220132000 is a wasteful number, since it uses less digits than its factorization.

11033220132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27861709 (or 27861688 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11033220132000 its reverse (23102233011), we get a palindrome (11056322365011).

The spelling of 11033220132000 in words is "eleven trillion, thirty-three billion, two hundred twenty million, one hundred thirty-two thousand".