122211420 has 192 divisors, whose sum is σ = 387072000. Its totient is φ = 28664064.

The previous prime is 122211413. The next prime is 122211431. The reversal of 122211420 is 24112221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122211420.

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 63 ways as a sum of consecutive naturals, for example, 1546941 + ... + 1547019.

It is an arithmetic number, because the mean of its divisors is an integer number (2016000).

Almost surely, 2^122211420 is an apocalyptic number.

122211420 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 122211420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193536000).

122211420 is an abundant number, since it is smaller than the sum of its proper divisors (264860580).

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

122211420 is a wasteful number, since it uses less digits than its factorization.

122211420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 122211420 is about 11054.9274081741. The cubic root of 122211420 is about 496.2538968492.

Adding to 122211420 its reverse (24112221), we get a palindrome (146323641).

The spelling of 122211420 in words is "one hundred twenty-two million, two hundred eleven thousand, four hundred twenty".