120001022221120 has 224 divisors, whose sum is σ = 290538439211520. Its totient is φ = 47201543700480.

The previous prime is 120001022221063. The next prime is 120001022221151. The reversal of 120001022221120 is 21122220100021.

It is a happy number.

It is a super-2 number, since 2×120001022221120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 120001022221094 and 120001022221103.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 22757634804 + ... + 22757640076.

Almost surely, 2^{120001022221120} is an apocalyptic number.

120001022221120 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 120001022221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145269219605760).

120001022221120 is an abundant number, since it is smaller than the sum of its proper divisors (170537416990400).

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

120001022221120 is a wasteful number, since it uses less digits than its factorization.

120001022221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8833 (or 8823 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 120001022221120 its reverse (21122220100021), we get a palindrome (141123242321141).

The spelling of 120001022221120 in words is "one hundred twenty trillion, one billion, twenty-two million, two hundred twenty-one thousand, one hundred twenty".