12335758320100 has 72 divisors (see below), whose sum is σ = 28188085534560. Its totient is φ = 4672841886720.

The previous prime is 12335758320097. The next prime is 12335758320121. The reversal of 12335758320100 is 102385753321.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3826527 + ... + 6270073.

It is an arithmetic number, because the mean of its divisors is an integer number (391501187980).

Almost surely, 2^{12335758320100} is an apocalyptic number.

12335758320100 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 12335758320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14094042767280).

12335758320100 is an abundant number, since it is smaller than the sum of its proper divisors (15852327214460).

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

12335758320100 is a wasteful number, since it uses less digits than its factorization.

12335758320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2446237 (or 2446230 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The spelling of 12335758320100 in words is "twelve trillion, three hundred thirty-five billion, seven hundred fifty-eight million, three hundred twenty thousand, one hundred".