122484000 has 192 divisors, whose sum is σ = 410417280. Its totient is φ = 31923200.

The previous prime is 122483989. The next prime is 122484053. The reversal of 122484000 is 484221.

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 31 ways as a sum of consecutive naturals, for example, 707914 + ... + 708086.

It is an arithmetic number, because the mean of its divisors is an integer number (2137590).

Almost surely, 2^122484000 is an apocalyptic number.

122484000 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 122484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205208640).

122484000 is an abundant number, since it is smaller than the sum of its proper divisors (287933280).

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

122484000 is a wasteful number, since it uses less digits than its factorization.

122484000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 122484000 is about 11067.2489806636. The cubic root of 122484000 is about 496.6225706438.

The spelling of 122484000 in words is "one hundred twenty-two million, four hundred eighty-four thousand".