122205420 has 144 divisors (see below), whose sum is σ = 393513120. Its totient is φ = 30643200.

The previous prime is 122205389. The next prime is 122205427. The reversal of 122205420 is 24502221.

122205420 is a `hidden beast` number, since 122 + 2 + 0 + 542 + 0 = 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 = 122205393 and 122205402.

It is not an unprimeable number, because it can be changed into a prime (122205427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213735 + ... + 214305.

It is an arithmetic number, because the mean of its divisors is an integer number (2732730).

Almost surely, 2^122205420 is an apocalyptic number.

122205420 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 122205420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196756560).

122205420 is an abundant number, since it is smaller than the sum of its proper divisors (271307700).

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

122205420 is a wasteful number, since it uses less digits than its factorization.

122205420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 122205420 is about 11054.6560326407. The cubic root of 122205420 is about 496.2457754802.

Adding to 122205420 its reverse (24502221), we get a palindrome (146707641).

The spelling of 122205420 in words is "one hundred twenty-two million, two hundred five thousand, four hundred twenty".