122464 has 24 divisors (see below), whose sum is σ = 249480. Its totient is φ = 59136.

The previous prime is 122453. The next prime is 122471. The reversal of 122464 is 464221.

122464 = T₇₁ + T₇₂ + ... + T₁₀₂.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1332 + ... + 1420.

It is an arithmetic number, because the mean of its divisors is an integer number (10395).

2¹²²⁴⁶⁴ 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 122464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124740).

122464 is an abundant number, since it is smaller than the sum of its proper divisors (127016).

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

122464 is an equidigital number, since it uses as much as digits as its factorization.

122464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 134 counting only the distinct ones).

The product of its digits is 384, while the sum is 19.

The square root of 122464 is about 349.9485676496. The cubic root of 122464 is about 49.6595538563.

Adding to 122464 its reverse (464221), we get a palindrome (586685).

It can be divided in two parts, 12246 and 4, that multiplied together give a palindrome (48984).

The spelling of 122464 in words is "one hundred twenty-two thousand, four hundred sixty-four".