12172110033840 has 320 divisors, whose sum is σ = 38634111544320. Its totient is φ = 3169258721280.

The previous prime is 12172110033767. The next prime is 12172110033847. The reversal of 12172110033840 is 4833001127121.

It is not an unprimeable number, because it can be changed into a prime (12172110033847) 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 63 ways as a sum of consecutive naturals, for example, 2345749966 + ... + 2345755154.

It is an arithmetic number, because the mean of its divisors is an integer number (120731598576).

Almost surely, 2^{12172110033840} is an apocalyptic number.

12172110033840 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 12172110033840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19317055772160).

12172110033840 is an abundant number, since it is smaller than the sum of its proper divisors (26462001510480).

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

12172110033840 is a wasteful number, since it uses less digits than its factorization.

12172110033840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6412 (or 6406 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 12172110033840 in words is "twelve trillion, one hundred seventy-two billion, one hundred ten million, thirty-three thousand, eight hundred forty".