11211233022000 has 480 divisors, whose sum is σ = 44574108074496. Its totient is φ = 2599705152000.

The previous prime is 11211233021993. The next prime is 11211233022097. The reversal of 11211233022000 is 22033211211.

11211233022000 is a `hidden beast` number, since 1 + 1 + 2 + 112 + 330 + 220 + 0 + 0 = 666.

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

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, 3323079 + ... + 5784921.

Almost surely, 2^{11211233022000} is an apocalyptic number.

11211233022000 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 11211233022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22287054037248).

11211233022000 is an abundant number, since it is smaller than the sum of its proper divisors (33362875052496).

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

11211233022000 is a wasteful number, since it uses less digits than its factorization.

11211233022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2461906 (or 2461887 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11211233022000 its reverse (22033211211), we get a palindrome (11233266233211).

The spelling of 11211233022000 in words is "eleven trillion, two hundred eleven billion, two hundred thirty-three million, twenty-two thousand".