122212240 has 40 divisors (see below), whose sum is σ = 287091000. Its totient is φ = 48377856.

The previous prime is 122212213. The next prime is 122212247. The reversal of 122212240 is 42212221.

It can be written as a sum of positive squares in 4 ways, for example, as 65536 + 122146704 = 256^2 + 11052^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (122212247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115 + ... + 15634.

It is an arithmetic number, because the mean of its divisors is an integer number (7177275).

Almost surely, 2^122212240 is an apocalyptic number.

122212240 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 122212240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143545500).

122212240 is an abundant number, since it is smaller than the sum of its proper divisors (164878760).

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

122212240 is a wasteful number, since it uses less digits than its factorization.

122212240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15859 (or 15853 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 122212240 is about 11054.9644956463. The cubic root of 122212240 is about 496.2550067490.

Adding to 122212240 its reverse (42212221), we get a palindrome (164424461).

The spelling of 122212240 in words is "one hundred twenty-two million, two hundred twelve thousand, two hundred forty".