120002023221000 has 512 divisors, whose sum is σ = 395061123225600. Its totient is φ = 30243398169600.

The previous prime is 120002023220897. The next prime is 120002023221071. The reversal of 120002023221000 is 122320200021.

It is a happy number.

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 (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 67152782107 + ... + 67152783893.

It is an arithmetic number, because the mean of its divisors is an integer number (771603756300).

Almost surely, 2^{120002023221000} is an apocalyptic number.

120002023221000 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 120002023221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197530561612800).

120002023221000 is an abundant number, since it is smaller than the sum of its proper divisors (275059100004600).

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

120002023221000 is a wasteful number, since it uses less digits than its factorization.

120002023221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4006 (or 3992 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 120002023221000 its reverse (122320200021), we get a palindrome (120124343421021).

The spelling of 120002023221000 in words is "one hundred twenty trillion, two billion, twenty-three million, two hundred twenty-one thousand".