122406312420 has 144 divisors (see below), whose sum is σ = 424791319680. Its totient is φ = 27948953088.

The previous prime is 122406312403. The next prime is 122406312433. The reversal of 122406312420 is 24213604221.

122406312420 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 0 + 631 + 2 + 4 + 20 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1149811 + ... + 1251749.

It is an arithmetic number, because the mean of its divisors is an integer number (2949939720).

Almost surely, 2^122406312420 is an apocalyptic number.

122406312420 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 122406312420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212395659840).

122406312420 is an abundant number, since it is smaller than the sum of its proper divisors (302385007260).

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

122406312420 is a wasteful number, since it uses less digits than its factorization.

122406312420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102914 (or 102909 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 122406312420 its reverse (24213604221), we get a palindrome (146619916641).

The spelling of 122406312420 in words is "one hundred twenty-two billion, four hundred six million, three hundred twelve thousand, four hundred twenty".