122121320 has 32 divisors (see below), whose sum is σ = 284250600. Its totient is φ = 47163648.

The previous prime is 122121301. The next prime is 122121323. The reversal of 122121320 is 23121221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 98287396 + 23833924 = 9914^2 + 4882^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122121295 and 122121304.

It is not an unprimeable number, because it can be changed into a prime (122121323) 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, 51479 + ... + 53798.

Almost surely, 2^122121320 is an apocalyptic number.

122121320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122121320 is an abundant number, since it is smaller than the sum of its proper divisors (162129280).

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

122121320 is a wasteful number, since it uses less digits than its factorization.

122121320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105317 (or 105313 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 122121320 is about 11050.8515508987. The cubic root of 122121320 is about 496.1319129717.

Adding to 122121320 its reverse (23121221), we get a palindrome (145242541).

Subtracting from 122121320 its reverse (23121221), we obtain a palindrome (99000099).

It can be divided in two parts, 1221 and 21320, that multiplied together give a triangular number (26031720 = T₇₂₁₅).

The spelling of 122121320 in words is "one hundred twenty-two million, one hundred twenty-one thousand, three hundred twenty".