312011211231200 has 216 divisors, whose sum is σ = 826379849148336. Its totient is φ = 114982992384000.

The previous prime is 312011211231127. The next prime is 312011211231211. The reversal of 312011211231200 is 2132112110213.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 68224445 + ... + 72653955.

It is an arithmetic number, because the mean of its divisors is an integer number (3825832634946).

Almost surely, 2^{312011211231200} 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 312011211231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413189924574168).

312011211231200 is an abundant number, since it is smaller than the sum of its proper divisors (514368637917136).

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

312011211231200 is a wasteful number, since it uses less digits than its factorization.

312011211231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4430078 (or 4430052 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 312011211231200 its reverse (2132112110213), we get a palindrome (314143323341413).

The spelling of 312011211231200 in words is "three hundred twelve trillion, eleven billion, two hundred eleven million, two hundred thirty-one thousand, two hundred".