312000400233200 has 1440 divisors, whose sum is σ = 976395905769600. Its totient is φ = 95051616092160.

The previous prime is 312000400233187. The next prime is 312000400233257. The reversal of 312000400233200 is 2332004000213.

It is a super-3 number, since 3×312000400233200³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 287 ways as a sum of consecutive naturals, for example, 183854094752 + ... + 183854096448.

It is an arithmetic number, because the mean of its divisors is an integer number (678052712340).

Almost surely, 2^{312000400233200} 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 312000400233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488197952884800).

312000400233200 is an abundant number, since it is smaller than the sum of its proper divisors (664395505536400).

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

312000400233200 is a wasteful number, since it uses less digits than its factorization.

312000400233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2187 (or 2169 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 312000400233200 its reverse (2332004000213), we get a palindrome (314332404233413).

The spelling of 312000400233200 in words is "three hundred twelve trillion, four hundred million, two hundred thirty-three thousand, two hundred".