11281622784120 has 768 divisors, whose sum is σ = 42340382622720. Its totient is φ = 2583324057600.

The previous prime is 11281622784083. The next prime is 11281622784137. The reversal of 11281622784120 is 2148722618211.

11281622784120 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 1 + 6 + 227 + 8 + 412 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1460778579 + ... + 1460786301.

It is an arithmetic number, because the mean of its divisors is an integer number (55130706540).

Almost surely, 2^{11281622784120} is an apocalyptic number.

11281622784120 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 11281622784120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21170191311360).

11281622784120 is an abundant number, since it is smaller than the sum of its proper divisors (31058759838600).

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

11281622784120 is a wasteful number, since it uses less digits than its factorization.

11281622784120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8148 (or 8141 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 11281622784120 in words is "eleven trillion, two hundred eighty-one billion, six hundred twenty-two million, seven hundred eighty-four thousand, one hundred twenty".