122513220 has 72 divisors (see below), whose sum is σ = 393493464. Its totient is φ = 30747648.

The previous prime is 122513219. The next prime is 122513227. The reversal of 122513220 is 22315221.

It can be written as a sum of positive squares in 4 ways, for example, as 40755456 + 81757764 = 6384^2 + 9042^2 .

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 = 122513193 and 122513202.

It is not an unprimeable number, because it can be changed into a prime (122513227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16959 + ... + 23078.

It is an arithmetic number, because the mean of its divisors is an integer number (5465187).

Almost surely, 2^122513220 is an apocalyptic number.

122513220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122513220 is an abundant number, since it is smaller than the sum of its proper divisors (270980244).

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

122513220 is a wasteful number, since it uses less digits than its factorization.

122513220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40069 (or 40064 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 122513220 is about 11068.5690132013. The cubic root of 122513220 is about 496.6620592239.

Adding to 122513220 its reverse (22315221), we get a palindrome (144828441).

The spelling of 122513220 in words is "one hundred twenty-two million, five hundred thirteen thousand, two hundred twenty".