122506020 has 288 divisors, whose sum is σ = 476007168. Its totient is φ = 25754112.

The previous prime is 122505979. The next prime is 122506051. The reversal of 122506020 is 20605221.

122506020 is a `hidden beast` number, since 12 + 2 + 50 + 602 + 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 = 122505984 and 122506002.

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 95 ways as a sum of consecutive naturals, for example, 442122 + ... + 442398.

Almost surely, 2^122506020 is an apocalyptic number.

122506020 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 122506020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238003584).

122506020 is an abundant number, since it is smaller than the sum of its proper divisors (353501148).

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

122506020 is a wasteful number, since it uses less digits than its factorization.

122506020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 122506020 is about 11068.2437631270. The cubic root of 122506020 is about 496.6523295613.

The spelling of 122506020 in words is "one hundred twenty-two million, five hundred six thousand, twenty".