122241420 has 192 divisors, whose sum is σ = 441584640. Its totient is φ = 27495936.

The previous prime is 122241397. The next prime is 122241439. The reversal of 122241420 is 24142221.

122241420 is a `hidden beast` number, since 1 + 2 + 2 + 241 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122241393 and 122241402.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 275719 + ... + 276161.

It is an arithmetic number, because the mean of its divisors is an integer number (2299920).

Almost surely, 2^122241420 is an apocalyptic number.

122241420 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 122241420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220792320).

122241420 is an abundant number, since it is smaller than the sum of its proper divisors (319343220).

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

122241420 is a wasteful number, since it uses less digits than its factorization.

122241420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 122241420 is about 11056.2841859279. The cubic root of 122241420 is about 496.2944997075.

Adding to 122241420 its reverse (24142221), we get a palindrome (146383641).

The spelling of 122241420 in words is "one hundred twenty-two million, two hundred forty-one thousand, four hundred twenty".