122087424 has 96 divisors (see below), whose sum is σ = 336510720. Its totient is φ = 39321600.

The previous prime is 122087417. The next prime is 122087429. The reversal of 122087424 is 424780221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 122087391 and 122087400.

It is not an unprimeable number, because it can be changed into a prime (122087429) 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, 190144 + ... + 190784.

It is an arithmetic number, because the mean of its divisors is an integer number (3505320).

Almost surely, 2^122087424 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 122087424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168255360).

122087424 is an abundant number, since it is smaller than the sum of its proper divisors (214423296).

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

122087424 is an equidigital number, since it uses as much as digits as its factorization.

122087424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 122087424 is about 11049.3178069961. The cubic root of 122087424 is about 496.0860065909.

The spelling of 122087424 in words is "one hundred twenty-two million, eighty-seven thousand, four hundred twenty-four".