122042320 has 80 divisors (see below), whose sum is σ = 316319040. Its totient is φ = 43517952.

The previous prime is 122042293. The next prime is 122042369. The reversal of 122042320 is 23240221.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 122042294 and 122042303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23479 + ... + 28201.

It is an arithmetic number, because the mean of its divisors is an integer number (3953988).

Almost surely, 2^122042320 is an apocalyptic number.

122042320 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 122042320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158159520).

122042320 is an abundant number, since it is smaller than the sum of its proper divisors (194276720).

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

122042320 is a wasteful number, since it uses less digits than its factorization.

122042320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4772 (or 4766 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 122042320 is about 11047.2765874672. The cubic root of 122042320 is about 496.0249076982.

Adding to 122042320 its reverse (23240221), we get a palindrome (145282541).

The spelling of 122042320 in words is "one hundred twenty-two million, forty-two thousand, three hundred twenty".