122641464 has 128 divisors (see below), whose sum is σ = 351993600. Its totient is φ = 35266560.

The previous prime is 122641457. The next prime is 122641483. The reversal of 122641464 is 464146221.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 635352 + ... + 635544.

It is an arithmetic number, because the mean of its divisors is an integer number (2749950).

Almost surely, 2^122641464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122641464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175996800).

122641464 is an abundant number, since it is smaller than the sum of its proper divisors (229352136).

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

122641464 is a wasteful number, since it uses less digits than its factorization.

122641464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 321 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 122641464 is about 11074.3606587469. The cubic root of 122641464 is about 496.8352969027.

Adding to 122641464 its reverse (464146221), we get a palindrome (586787685).

The spelling of 122641464 in words is "one hundred twenty-two million, six hundred forty-one thousand, four hundred sixty-four".