122472000 has 448 divisors, whose sum is σ = 519866880. Its totient is φ = 27993600.

The previous prime is 122471981. The next prime is 122472001. The reversal of 122472000 is 274221.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is not an unprimeable number, because it can be changed into a prime (122472001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 17495997 + ... + 17496003.

Almost surely, 2^122472000 is an apocalyptic number.

122472000 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 122472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259933440).

122472000 is an abundant number, since it is smaller than the sum of its proper divisors (397394880).

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

122472000 is an frugal number, since it uses more digits than its factorization.

122472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 122472000 is about 11066.7068272364. The cubic root of 122472000 is about 496.6063517486.

The spelling of 122472000 in words is "one hundred twenty-two million, four hundred seventy-two thousand".