11101323222000 has 240 divisors, whose sum is σ = 42298060652640. Its totient is φ = 2691229824000.

The previous prime is 11101323221987. The next prime is 11101323222089. The reversal of 11101323222000 is 22232310111.

11101323222000 is a `hidden beast` number, since 1 + 1 + 10 + 132 + 322 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×11101323222000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27835645 + ... + 28231644.

It is an arithmetic number, because the mean of its divisors is an integer number (176241919386).

Almost surely, 2^{11101323222000} is an apocalyptic number.

11101323222000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11101323222000 is an abundant number, since it is smaller than the sum of its proper divisors (31196737430640).

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

11101323222000 is a wasteful number, since it uses less digits than its factorization.

11101323222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56067329 (or 56067310 counting only the distinct ones).

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

Adding to 11101323222000 its reverse (22232310111), we get a palindrome (11123555532111).

The spelling of 11101323222000 in words is "eleven trillion, one hundred one billion, three hundred twenty-three million, two hundred twenty-two thousand".