11972882411100 has 720 divisors, whose sum is σ = 42578876340000. Its totient is φ = 2892545095680.

The previous prime is 11972882411081. The next prime is 11972882411239. The reversal of 11972882411100 is 111428827911.

11972882411100 is a `hidden beast` number, since 1 + 19 + 7 + 288 + 241 + 110 + 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 239 ways as a sum of consecutive naturals, for example, 1228109026 + ... + 1228118774.

It is an arithmetic number, because the mean of its divisors is an integer number (59137328250).

Almost surely, 2^{11972882411100} is an apocalyptic number.

11972882411100 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 11972882411100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21289438170000).

11972882411100 is an abundant number, since it is smaller than the sum of its proper divisors (30605993928900).

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

11972882411100 is a wasteful number, since it uses less digits than its factorization.

11972882411100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10004 (or 9988 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 45.

The spelling of 11972882411100 in words is "eleven trillion, nine hundred seventy-two billion, eight hundred eighty-two million, four hundred eleven thousand, one hundred".