20122968 has 128 divisors (see below), whose sum is σ = 57784320. Its totient is φ = 5806080.

The previous prime is 20122903. The next prime is 20122979. The reversal of 20122968 is 86922102.

It is a super-2 number, since 2×20122968² = 809867682258048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 467955 + ... + 467997.

It is an arithmetic number, because the mean of its divisors is an integer number (451440).

Almost surely, 2^20122968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20122968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28892160).

20122968 is an abundant number, since it is smaller than the sum of its proper divisors (37661352).

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

20122968 is a wasteful number, since it uses less digits than its factorization.

20122968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 20122968 is about 4485.8631276489. The cubic root of 20122968 is about 271.9969362400.

The spelling of 20122968 in words is "twenty million, one hundred twenty-two thousand, nine hundred sixty-eight".