11330213244120 has 256 divisors, whose sum is σ = 38427718924800. Its totient is φ = 2968790330880.

The previous prime is 11330213244107. The next prime is 11330213244139. The reversal of 11330213244120 is 2144231203311.

11330213244120 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 0 + 213 + 2 + 441 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28529715 + ... + 28924125.

It is an arithmetic number, because the mean of its divisors is an integer number (150108277050).

Almost surely, 2^{11330213244120} is an apocalyptic number.

11330213244120 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 11330213244120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19213859462400).

11330213244120 is an abundant number, since it is smaller than the sum of its proper divisors (27097505680680).

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

11330213244120 is a wasteful number, since it uses less digits than its factorization.

11330213244120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394895 (or 394885 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 11330213244120 its reverse (2144231203311), we get a palindrome (13474444447431).

The spelling of 11330213244120 in words is "eleven trillion, three hundred thirty billion, two hundred thirteen million, two hundred forty-four thousand, one hundred twenty".