122121013320 has 96 divisors (see below), whose sum is σ = 396949620600. Its totient is φ = 32560982016.

The previous prime is 122121013283. The next prime is 122121013327. The reversal of 122121013320 is 23310121221.

122121013320 is a `hidden beast` number, since 122 + 1 + 210 + 1 + 332 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 94655906244 + 27465107076 = 307662^2 + 165726^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122121013293 and 122121013302.

It is not an unprimeable number, because it can be changed into a prime (122121013327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3066496 + ... + 3106064.

Almost surely, 2^122121013320 is an apocalyptic number.

122121013320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122121013320 is an abundant number, since it is smaller than the sum of its proper divisors (274828607280).

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

122121013320 is a wasteful number, since it uses less digits than its factorization.

122121013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48159 (or 48152 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122121013320 its reverse (23310121221), we get a palindrome (145431134541).

The spelling of 122121013320 in words is "one hundred twenty-two billion, one hundred twenty-one million, thirteen thousand, three hundred twenty".