12177115204100 has 144 divisors (see below), whose sum is σ = 32958517769856. Its totient is φ = 3793864704000.

The previous prime is 12177115204087. The next prime is 12177115204157. The reversal of 12177115204100 is 140251177121.

It is a super-3 number, since 3×12177115204100³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18001604 + ... + 18665796.

It is an arithmetic number, because the mean of its divisors is an integer number (228878595624).

Almost surely, 2^{12177115204100} is an apocalyptic number.

12177115204100 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 12177115204100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16479258884928).

12177115204100 is an abundant number, since it is smaller than the sum of its proper divisors (20781402565756).

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

12177115204100 is a wasteful number, since it uses less digits than its factorization.

12177115204100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666606 (or 666599 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 32.

The spelling of 12177115204100 in words is "twelve trillion, one hundred seventy-seven billion, one hundred fifteen million, two hundred four thousand, one hundred".