11331222210000 has 1200 divisors, whose sum is σ = 49705906618368. Its totient is φ = 2340201600000.

The previous prime is 11331222209969. The next prime is 11331222210013. The reversal of 11331222210000 is 1222213311.

11331222210000 is a `hidden beast` number, since 11 + 331 + 2 + 222 + 100 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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 (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1157305105 + ... + 1157314895.

Almost surely, 2^{11331222210000} is an apocalyptic number.

11331222210000 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 11331222210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24852953309184).

11331222210000 is an abundant number, since it is smaller than the sum of its proper divisors (38374684408368).

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

11331222210000 is a wasteful number, since it uses less digits than its factorization.

11331222210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10010 (or 9986 counting only the distinct ones).

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

Adding to 11331222210000 its reverse (1222213311), we get a palindrome (11332444423311).

The spelling of 11331222210000 in words is "eleven trillion, three hundred thirty-one billion, two hundred twenty-two million, two hundred ten thousand".