312204012142104 has 192 divisors, whose sum is σ = 902651019510240. Its totient is φ = 97144050954240.

The previous prime is 312204012142093. The next prime is 312204012142109. The reversal of 312204012142104 is 401241210402213.

312204012142104 is a `hidden beast` number, since 3 + 1 + 2 + 20 + 401 + 21 + 4 + 210 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312204012142109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80746879 + ... + 84524945.

Almost surely, 2^{312204012142104} is an apocalyptic number.

312204012142104 is a gapful number since it is divisible by the number (34) 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 312204012142104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451325509755120).

312204012142104 is an abundant number, since it is smaller than the sum of its proper divisors (590447007368136).

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

312204012142104 is a wasteful number, since it uses less digits than its factorization.

312204012142104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3778650 (or 3778643 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 312204012142104 its reverse (401241210402213), we get a palindrome (713445222544317).

The spelling of 312204012142104 in words is "three hundred twelve trillion, two hundred four billion, twelve million, one hundred forty-two thousand, one hundred four".