122164000 has 96 divisors (see below), whose sum is σ = 343115136. Its totient is φ = 41875200.

The previous prime is 122163991. The next prime is 122164013. The reversal of 122164000 is 461221.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 5.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25819 + ... + 30181.

It is an arithmetic number, because the mean of its divisors is an integer number (3574116).

Almost surely, 2^122164000 is an apocalyptic number.

122164000 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 122164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171557568).

122164000 is an abundant number, since it is smaller than the sum of its proper divisors (220951136).

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

122164000 is an equidigital number, since it uses as much as digits as its factorization.

122164000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4395 (or 4377 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 122164000 is about 11052.7824551106. The cubic root of 122164000 is about 496.1897037100.

The spelling of 122164000 in words is "one hundred twenty-two million, one hundred sixty-four thousand".