122314464 has 72 divisors (see below), whose sum is σ = 349483680. Its totient is φ = 40578048.

The previous prime is 122314447. The next prime is 122314501. The reversal of 122314464 is 464413221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 67944 + ... + 69720.

It is an arithmetic number, because the mean of its divisors is an integer number (4853940).

Almost surely, 2^122314464 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 122314464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174741840).

122314464 is an abundant number, since it is smaller than the sum of its proper divisors (227169216).

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

122314464 is a wasteful number, since it uses less digits than its factorization.

122314464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2032 (or 2021 counting only the distinct ones).

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

The square root of 122314464 is about 11059.5869723964. The cubic root of 122314464 is about 496.3933317763.

Adding to 122314464 its reverse (464413221), we get a palindrome (586727685).

It can be divided in two parts, 12 and 2314464, that added together give a triangular number (2314476 = T₂₁₅₁).

The spelling of 122314464 in words is "one hundred twenty-two million, three hundred fourteen thousand, four hundred sixty-four".