122042640 has 80 divisors (see below), whose sum is σ = 382082688. Its totient is φ = 32222208.

The previous prime is 122042603. The next prime is 122042647. The reversal of 122042640 is 46240221.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (122042647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22252 + ... + 27188.

Almost surely, 2^122042640 is an apocalyptic number.

122042640 is a gapful number since it is divisible by the number (10) 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 122042640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191041344).

122042640 is an abundant number, since it is smaller than the sum of its proper divisors (260040048).

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

122042640 is a wasteful number, since it uses less digits than its factorization.

122042640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5056 (or 5050 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 122042640 is about 11047.2910706652. The cubic root of 122042640 is about 496.0253412304.

Adding to 122042640 its reverse (46240221), we get a palindrome (168282861).

The spelling of 122042640 in words is "one hundred twenty-two million, forty-two thousand, six hundred forty".