122264640 has 280 divisors, whose sum is σ = 448101720. Its totient is φ = 31629312.

The previous prime is 122264621. The next prime is 122264647. The reversal of 122264640 is 46462221.

122264640 is a `hidden beast` number, since 12 + 2 + 2 + 6 + 4 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8714304 + 113550336 = 2952^2 + 10656^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122264647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1373716 + ... + 1373804.

Almost surely, 2^122264640 is an apocalyptic number.

122264640 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 122264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224050860).

122264640 is an abundant number, since it is smaller than the sum of its proper divisors (325837080).

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

122264640 is an equidigital number, since it uses as much as digits as its factorization.

122264640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 122264640 is about 11057.3342176132. The cubic root of 122264640 is about 496.3259217593.

The spelling of 122264640 in words is "one hundred twenty-two million, two hundred sixty-four thousand, six hundred forty".