11971112408112 has 320 divisors, whose sum is σ = 36691875569664. Its totient is φ = 3315421393920.

The previous prime is 11971112408069. The next prime is 11971112408119. The reversal of 11971112408112 is 21180421117911.

11971112408112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (11971112408119) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1811879913 + ... + 1811886519.

Almost surely, 2^{11971112408112} is an apocalyptic number.

11971112408112 is a gapful number since it is divisible by the number (12) 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 11971112408112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18345937784832).

11971112408112 is an abundant number, since it is smaller than the sum of its proper divisors (24720763161552).

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

11971112408112 is a wasteful number, since it uses less digits than its factorization.

11971112408112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9216 (or 9210 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 39.

The spelling of 11971112408112 in words is "eleven trillion, nine hundred seventy-one billion, one hundred twelve million, four hundred eight thousand, one hundred twelve".