120120022200020 has 96 divisors (see below), whose sum is σ = 267143343667200. Its totient is φ = 45242381672064.

The previous prime is 120120022200011. The next prime is 120120022200029. The reversal of 120120022200020 is 20002220021021.

It is an interprime number because it is at equal distance from previous prime (120120022200011) and next prime (120120022200029).

It is a junction number, because it is equal to n+sod(n) for n = 120120022199968 and 120120022200004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120120022200029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 728628761 + ... + 728793599.

It is an arithmetic number, because the mean of its divisors is an integer number (2782743163200).

Almost surely, 2^{120120022200020} is an apocalyptic number.

120120022200020 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 120120022200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133571671833600).

120120022200020 is an abundant number, since it is smaller than the sum of its proper divisors (147023321467180).

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

120120022200020 is a wasteful number, since it uses less digits than its factorization.

120120022200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176517 (or 176515 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 120120022200020 its reverse (20002220021021), we get a palindrome (140122242221041).

The spelling of 120120022200020 in words is "one hundred twenty trillion, one hundred twenty billion, twenty-two million, two hundred thousand, twenty".