122210212103120 has 80 divisors (see below), whose sum is σ = 299117336336640. Its totient is φ = 46307534141952.

The previous prime is 122210212103087. The next prime is 122210212103129. The reversal of 122210212103120 is 21301212012221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122210212103092 and 122210212103101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122210212103129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15831914 + ... + 22250166.

It is an arithmetic number, because the mean of its divisors is an integer number (3738966704208).

Almost surely, 2^{122210212103120} is an apocalyptic number.

122210212103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122210212103120 is an abundant number, since it is smaller than the sum of its proper divisors (176907124233520).

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

122210212103120 is a wasteful number, since it uses less digits than its factorization.

122210212103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6430812 (or 6430806 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 122210212103120 its reverse (21301212012221), we get a palindrome (143511424115341).

The spelling of 122210212103120 in words is "one hundred twenty-two trillion, two hundred ten billion, two hundred twelve million, one hundred three thousand, one hundred twenty".