32106117312 has 896 divisors, whose sum is σ = 114292684800. Its totient is φ = 8758886400.

The previous prime is 32106117311. The next prime is 32106117359. The reversal of 32106117312 is 21371160123.

32106117312 is a `hidden beast` number, since 3 + 2 + 10 + 611 + 7 + 31 + 2 = 666.

It is a super-2 number, since 2×32106117312² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (32106117311) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 526329762 + ... + 526329822.

It is an arithmetic number, because the mean of its divisors is an integer number (127558800).

Almost surely, 2^32106117312 is an apocalyptic number.

32106117312 is a gapful number since it is divisible by the number (32) 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 32106117312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57146342400).

32106117312 is an abundant number, since it is smaller than the sum of its proper divisors (82186567488).

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

32106117312 is a wasteful number, since it uses less digits than its factorization.

32106117312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 32106117312 its reverse (21371160123), we get a palindrome (53477277435).

The spelling of 32106117312 in words is "thirty-two billion, one hundred six million, one hundred seventeen thousand, three hundred twelve".