120122201022000 has 320 divisors, whose sum is σ = 392448222706176. Its totient is φ = 31605610828800.

The previous prime is 120122201021971. The next prime is 120122201022067. The reversal of 120122201022000 is 220102221021.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 384797979 + ... + 385110021.

Almost surely, 2^{120122201022000} is an apocalyptic number.

120122201022000 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 120122201022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196224111353088).

120122201022000 is an abundant number, since it is smaller than the sum of its proper divisors (272326021684176).

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

120122201022000 is a wasteful number, since it uses less digits than its factorization.

120122201022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312925 (or 312909 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 120122201022000 its reverse (220102221021), we get a palindrome (120342303243021).

The spelling of 120122201022000 in words is "one hundred twenty trillion, one hundred twenty-two billion, two hundred one million, twenty-two thousand".