312303202302000 has 960 divisors, whose sum is σ = 1316402968817664. Its totient is φ = 62016480460800.

The previous prime is 312303202301999. The next prime is 312303202302149. The reversal of 312303202302000 is 203202303213.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 156804409 + ... + 158783591.

Almost surely, 2^{312303202302000} is an apocalyptic number.

312303202302000 is a gapful number since it is divisible by the number (30) 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 312303202302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658201484408832).

312303202302000 is an abundant number, since it is smaller than the sum of its proper divisors (1004099766515664).

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

312303202302000 is a wasteful number, since it uses less digits than its factorization.

312303202302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979263 (or 1979230 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 312303202302000 its reverse (203202303213), we get a palindrome (312506404605213).

The spelling of 312303202302000 in words is "three hundred twelve trillion, three hundred three billion, two hundred two million, three hundred two thousand".