120120120100220 has 144 divisors (see below), whose sum is σ = 268983649120032. Its totient is φ = 45049712332800.

The previous prime is 120120120100213. The next prime is 120120120100273. The reversal of 120120120100220 is 22001021021021.

It is a super-3 number, since 3×120120120100220³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120120120100195 and 120120120100204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2926098695 + ... + 2926139745.

It is an arithmetic number, because the mean of its divisors is an integer number (1867942007778).

Almost surely, 2^{120120120100220} is an apocalyptic number.

120120120100220 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 120120120100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134491824560016).

120120120100220 is an abundant number, since it is smaller than the sum of its proper divisors (148863529019812).

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

120120120100220 is a wasteful number, since it uses less digits than its factorization.

120120120100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43008 (or 42989 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120120120100220 its reverse (22001021021021), we get a palindrome (142121141121241).

The spelling of 120120120100220 in words is "one hundred twenty trillion, one hundred twenty billion, one hundred twenty million, one hundred thousand, two hundred twenty".