122120544 has 144 divisors (see below), whose sum is σ = 401789808. Its totient is φ = 32191488.

The previous prime is 122120539. The next prime is 122120599. The reversal of 122120544 is 445021221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 122120544.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60154 + ... + 62150.

It is an arithmetic number, because the mean of its divisors is an integer number (2790207).

Almost surely, 2^122120544 is an apocalyptic number.

122120544 is a gapful number since it is divisible by the number (14) 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 122120544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200894904).

122120544 is an abundant number, since it is smaller than the sum of its proper divisors (279669264).

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

122120544 is a wasteful number, since it uses less digits than its factorization.

122120544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037 (or 2022 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 122120544 is about 11050.8164404265. The cubic root of 122120544 is about 496.1308621064.

Adding to 122120544 its reverse (445021221), we get a palindrome (567141765).

The spelling of 122120544 in words is "one hundred twenty-two million, one hundred twenty thousand, five hundred forty-four".