120000322002000 has 1920 divisors, whose sum is σ = 460080657953280. Its totient is φ = 26638295040000.

The previous prime is 120000322001993. The next prime is 120000322002031. The reversal of 120000322002000 is 200223000021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 107430905442 + ... + 107430906558.

It is an arithmetic number, because the mean of its divisors is an integer number (239625342684).

Almost surely, 2^{120000322002000} is an apocalyptic number.

120000322002000 is a gapful number since it is divisible by the number (10) 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 120000322002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230040328976640).

120000322002000 is an abundant number, since it is smaller than the sum of its proper divisors (340080335951280).

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

120000322002000 is a wasteful number, since it uses less digits than its factorization.

120000322002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 120000322002000 its reverse (200223000021), we get a palindrome (120200545002021).

The spelling of 120000322002000 in words is "one hundred twenty trillion, three hundred twenty-two million, two thousand".