122540420 has 48 divisors (see below), whose sum is σ = 273511728. Its totient is φ = 45957120.

The previous prime is 122540351. The next prime is 122540441. The reversal of 122540420 is 24045221.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 614656 + 121925764 = 784^2 + 11042^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122540392 and 122540401.

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 15 ways as a sum of consecutive naturals, for example, 119510 + ... + 120530.

It is an arithmetic number, because the mean of its divisors is an integer number (5698161).

Almost surely, 2^122540420 is an apocalyptic number.

122540420 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 122540420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136755864).

122540420 is an abundant number, since it is smaller than the sum of its proper divisors (150971308).

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

122540420 is a wasteful number, since it uses less digits than its factorization.

122540420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 122540420 is about 11069.7976494604. The cubic root of 122540420 is about 496.6988122871.

Adding to 122540420 its reverse (24045221), we get a palindrome (146585641).

The spelling of 122540420 in words is "one hundred twenty-two million, five hundred forty thousand, four hundred twenty".