2112415345300 has 144 divisors (see below), whose sum is σ = 4988186985600. Its totient is φ = 771847027200.

The previous prime is 2112415345267. The next prime is 2112415345301. The reversal of 2112415345300 is 35435142112.

It is a super-4 number, since 4×2112415345300⁴ (a number of 50 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112415345301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56178906 + ... + 56216494.

It is an arithmetic number, because the mean of its divisors is an integer number (34640187400).

Almost surely, 2^{2112415345300} is an apocalyptic number.

2112415345300 is a gapful number since it is divisible by the number (20) 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 2112415345300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494093492800).

2112415345300 is an abundant number, since it is smaller than the sum of its proper divisors (2875771640300).

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

2112415345300 is a wasteful number, since it uses less digits than its factorization.

2112415345300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38066 (or 38059 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The spelling of 2112415345300 in words is "two trillion, one hundred twelve billion, four hundred fifteen million, three hundred forty-five thousand, three hundred".