312000134022220 has 192 divisors, whose sum is σ = 806386042828800. Its totient is φ = 99029851361280.

The previous prime is 312000134022217. The next prime is 312000134022271. The reversal of 312000134022220 is 22220431000213.

It is a junction number, because it is equal to n+sod(n) for n = 312000134022191 and 312000134022200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14031366 + ... + 28650994.

It is an arithmetic number, because the mean of its divisors is an integer number (4199927306400).

Almost surely, 2^{312000134022220} 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 312000134022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403193021414400).

312000134022220 is an abundant number, since it is smaller than the sum of its proper divisors (494385908806580).

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

312000134022220 is a wasteful number, since it uses less digits than its factorization.

312000134022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14619848 (or 14619846 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 312000134022220 its reverse (22220431000213), we get a palindrome (334220565022433).

The spelling of 312000134022220 in words is "three hundred twelve trillion, one hundred thirty-four million, twenty-two thousand, two hundred twenty".