122111210320 has 160 divisors (see below), whose sum is σ = 316135480320. Its totient is φ = 43490304000.

The previous prime is 122111210303. The next prime is 122111210321. The reversal of 122111210320 is 23012111221.

It is a super-2 number, since 2×122111210320² (a number of 23 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 = 122111210294 and 122111210303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122111210321) 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, 12932161 + ... + 12941599.

It is an arithmetic number, because the mean of its divisors is an integer number (1975846752).

Almost surely, 2^122111210320 is an apocalyptic number.

122111210320 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 122111210320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158067740160).

122111210320 is an abundant number, since it is smaller than the sum of its proper divisors (194024270000).

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

122111210320 is a wasteful number, since it uses less digits than its factorization.

122111210320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9765 (or 9759 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 122111210320 its reverse (23012111221), we get a palindrome (145123321541).

Subtracting from 122111210320 its reverse (23012111221), we obtain a palindrome (99099099099).

The spelling of 122111210320 in words is "one hundred twenty-two billion, one hundred eleven million, two hundred ten thousand, three hundred twenty".