11047309701120 has 2496 divisors, whose sum is σ = 50119370735616. Its totient is φ = 2267436810240.

The previous prime is 11047309701097. The next prime is 11047309701121. The reversal of 11047309701120 is 2110790374011.

11047309701120 is a `hidden beast` number, since 1 + 1 + 0 + 473 + 0 + 9 + 70 + 112 + 0 = 666.

It is a super-3 number, since 3×11047309701120³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11047309701121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48666562447 + ... + 48666562673.

It is an arithmetic number, because the mean of its divisors is an integer number (20079876096).

Almost surely, 2^{11047309701120} is an apocalyptic number.

11047309701120 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 11047309701120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25059685367808).

11047309701120 is an abundant number, since it is smaller than the sum of its proper divisors (39072061034496).

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

11047309701120 is a wasteful number, since it uses less digits than its factorization.

11047309701120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 11047309701120 in words is "eleven trillion, forty-seven billion, three hundred nine million, seven hundred one thousand, one hundred twenty".