312232011120200 has 384 divisors, whose sum is σ = 742970075443200. Its totient is φ = 122012180398080.

The previous prime is 312232011120149. The next prime is 312232011120203. The reversal of 312232011120200 is 2021110232213.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (312232011120203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 385948097396 + ... + 385948098204.

It is an arithmetic number, because the mean of its divisors is an integer number (1934817904800).

Almost surely, 2^{312232011120200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312232011120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371485037721600).

312232011120200 is an abundant number, since it is smaller than the sum of its proper divisors (430738064323000).

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

312232011120200 is a wasteful number, since it uses less digits than its factorization.

312232011120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 312232011120200 its reverse (2021110232213), we get a palindrome (314253121352413).

The spelling of 312232011120200 in words is "three hundred twelve trillion, two hundred thirty-two billion, eleven million, one hundred twenty thousand, two hundred".