122166020 has 24 divisors (see below), whose sum is σ = 256964568. Its totient is φ = 48787200.

The previous prime is 122165983. The next prime is 122166043. The reversal of 122166020 is 20661221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 65254084 + 56911936 = 8078^2 + 7544^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122165983 and 122166001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8600 + ... + 17840.

It is an arithmetic number, because the mean of its divisors is an integer number (10706857).

Almost surely, 2^122166020 is an apocalyptic number.

122166020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122166020 is an abundant number, since it is smaller than the sum of its proper divisors (134798548).

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

122166020 is a wasteful number, since it uses less digits than its factorization.

122166020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9911 (or 9909 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 122166020 is about 11052.8738344378. The cubic root of 122166020 is about 496.1924385519.

The spelling of 122166020 in words is "one hundred twenty-two million, one hundred sixty-six thousand, twenty".