2312120032200 has 576 divisors, whose sum is σ = 8710823721600. Its totient is φ = 544668364800.

The previous prime is 2312120032181. The next prime is 2312120032289. The reversal of 2312120032200 is 22300212132.

2312120032200 is a `hidden beast` number, since 2 + 312 + 120 + 0 + 32 + 200 = 666.

2312120032200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 778752316 + ... + 778755284.

It is an arithmetic number, because the mean of its divisors is an integer number (15122957850).

Almost surely, 2^{2312120032200} is an apocalyptic number.

2312120032200 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 2312120032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4355411860800).

2312120032200 is an abundant number, since it is smaller than the sum of its proper divisors (6398703689400).

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

2312120032200 is a wasteful number, since it uses less digits than its factorization.

2312120032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4102 (or 4090 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2312120032200 its reverse (22300212132), we get a palindrome (2334420244332).

The spelling of 2312120032200 in words is "two trillion, three hundred twelve billion, one hundred twenty million, thirty-two thousand, two hundred".