122200120110020 has 24 divisors (see below), whose sum is σ = 257247685627800. Its totient is φ = 48760536920832.

The previous prime is 122200120110011. The next prime is 122200120110023. The reversal of 122200120110020 is 20011021002221.

It can be written as a sum of positive squares in 4 ways, for example, as 56697255538564 + 65502864571456 = 7529758^2 + 8093384^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122200120109977 and 122200120110004.

It is not an unprimeable number, because it can be changed into a prime (122200120110023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7469436815 + ... + 7469453174.

It is an arithmetic number, because the mean of its divisors is an integer number (10718653567825).

Almost surely, 2^{122200120110020} is an apocalyptic number.

122200120110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122200120110020 is an abundant number, since it is smaller than the sum of its proper divisors (135047565517780).

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

122200120110020 is a wasteful number, since it uses less digits than its factorization.

122200120110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14938890407 (or 14938890405 counting only the distinct ones).

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

Adding to 122200120110020 its reverse (20011021002221), we get a palindrome (142211141112241).

The spelling of 122200120110020 in words is "one hundred twenty-two trillion, two hundred billion, one hundred twenty million, one hundred ten thousand, twenty".