122034420 has 72 divisors (see below), whose sum is σ = 376477920. Its totient is φ = 31988160.

The previous prime is 122034413. The next prime is 122034457. The reversal of 122034420 is 24430221.

122034420 is a `hidden beast` number, since 1 + 220 + 3 + 442 + 0 = 666.

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

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 122034393 and 122034402.

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 23 ways as a sum of consecutive naturals, for example, 4875 + ... + 16365.

It is an arithmetic number, because the mean of its divisors is an integer number (5228860).

Almost surely, 2^122034420 is an apocalyptic number.

122034420 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 122034420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188238960).

122034420 is an abundant number, since it is smaller than the sum of its proper divisors (254443500).

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

122034420 is a wasteful number, since it uses less digits than its factorization.

122034420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11565 (or 11560 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 122034420 is about 11046.9190274936. The cubic root of 122034420 is about 496.0142046314.

Adding to 122034420 its reverse (24430221), we get a palindrome (146464641).

The spelling of 122034420 in words is "one hundred twenty-two million, thirty-four thousand, four hundred twenty".