11940020745120 has 2688 divisors, whose sum is σ = 51307777382400. Its totient is φ = 2596014489600.

The previous prime is 11940020745077. The next prime is 11940020745127. The reversal of 11940020745120 is 2154702004911.

11940020745120 is a `hidden beast` number, since 1 + 1 + 9 + 400 + 207 + 45 + 1 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11940020745127) by changing a digit.

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 447 ways as a sum of consecutive naturals, for example, 25900261690 + ... + 25900262150.

It is an arithmetic number, because the mean of its divisors is an integer number (19087714800).

Almost surely, 2^{11940020745120} is an apocalyptic number.

11940020745120 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 11940020745120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25653888691200).

11940020745120 is an abundant number, since it is smaller than the sum of its proper divisors (39367756637280).

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

11940020745120 is a wasteful number, since it uses less digits than its factorization.

11940020745120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 11940020745120 in words is "eleven trillion, nine hundred forty billion, twenty million, seven hundred forty-five thousand, one hundred twenty".