122148000 has 480 divisors, whose sum is σ = 499458960. Its totient is φ = 29030400.

The previous prime is 122147999. The next prime is 122148071. The reversal of 122148000 is 841221.

It can be written as a sum of positive squares in 8 ways, for example, as 1296 + 122146704 = 36^2 + 11052^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a zygodrome in base 15.

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 79 ways as a sum of consecutive naturals, for example, 4211986 + ... + 4212014.

Almost surely, 2^122148000 is an apocalyptic number.

122148000 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 122148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249729480).

122148000 is an abundant number, since it is smaller than the sum of its proper divisors (377310960).

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

122148000 is a wasteful number, since it uses less digits than its factorization.

122148000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 122148000 is about 11052.0586317663. The cubic root of 122148000 is about 496.1680405308.

Adding to 122148000 its reverse (841221), we get a palindrome (122989221).

The spelling of 122148000 in words is "one hundred twenty-two million, one hundred forty-eight thousand".