312000121231002 has 768 divisors, whose sum is σ = 806370015559680. Its totient is φ = 86515004620800.

The previous prime is 312000121230989. The next prime is 312000121231171. The reversal of 312000121231002 is 200132121000213.

312000121231002 is a `hidden beast` number, since 31 + 200 + 0 + 121 + 2 + 310 + 0 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 177980672958 + ... + 177980674710.

It is an arithmetic number, because the mean of its divisors is an integer number (1049960957760).

Almost surely, 2^{312000121231002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312000121231002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403185007779840).

312000121231002 is an abundant number, since it is smaller than the sum of its proper divisors (494369894328678).

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

312000121231002 is a wasteful number, since it uses less digits than its factorization.

312000121231002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2219 (or 2216 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 312000121231002 its reverse (200132121000213), we get a palindrome (512132242231215).

The spelling of 312000121231002 in words is "three hundred twelve trillion, one hundred twenty-one million, two hundred thirty-one thousand, two".