122496 has 64 divisors (see below), whose sum is σ = 367200. Its totient is φ = 35840.

The previous prime is 122489. The next prime is 122497. The reversal of 122496 is 694221.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (122497) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4210 + ... + 4238.

2¹²²⁴⁹⁶ is an apocalyptic number.

122496 is a gapful number since it is divisible by the number (16) 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 122496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183600).

122496 is an abundant number, since it is smaller than the sum of its proper divisors (244704).

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

122496 is a wasteful number, since it uses less digits than its factorization.

122496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 45 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 122496 is about 349.9942856676. The cubic root of 122496 is about 49.6638788480.

The spelling of 122496 in words is "one hundred twenty-two thousand, four hundred ninety-six".