11331130122000 has 2560 divisors, whose sum is σ = 48182196142080. Its totient is φ = 2519838720000.

The previous prime is 11331130121989. The next prime is 11331130122029. The reversal of 11331130122000 is 22103113311.

11331130122000 is a `hidden beast` number, since 1 + 1 + 331 + 130 + 1 + 2 + 200 + 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 511 ways as a sum of consecutive naturals, for example, 36434501845 + ... + 36434502155.

It is an arithmetic number, because the mean of its divisors is an integer number (18821170368).

Almost surely, 2^{11331130122000} is an apocalyptic number.

11331130122000 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 11331130122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24091098071040).

11331130122000 is an abundant number, since it is smaller than the sum of its proper divisors (36851066020080).

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

11331130122000 is a wasteful number, since it uses less digits than its factorization.

11331130122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11331130122000 its reverse (22103113311), we get a palindrome (11353233235311).

The spelling of 11331130122000 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty million, one hundred twenty-two thousand".