340302100122000 has 320 divisors, whose sum is σ = 1219136789894400. Its totient is φ = 90739853683200.

The previous prime is 340302100121999. The next prime is 340302100122011. The reversal of 340302100122000 is 221001203043.

340302100122000 is a `hidden beast` number, since 3 + 40 + 302 + 100 + 1 + 220 + 0 + 0 = 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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 681176302 + ... + 681675698.

It is an arithmetic number, because the mean of its divisors is an integer number (3809802468420).

Almost surely, 2^{340302100122000} is an apocalyptic number.

340302100122000 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 340302100122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609568394947200).

340302100122000 is an abundant number, since it is smaller than the sum of its proper divisors (878834689772400).

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

340302100122000 is a wasteful number, since it uses less digits than its factorization.

340302100122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512048 (or 512026 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 340302100122000 its reverse (221001203043), we get a palindrome (340523101325043).

The spelling of 340302100122000 in words is "three hundred forty trillion, three hundred two billion, one hundred million, one hundred twenty-two thousand".