122272000 has 72 divisors (see below), whose sum is σ = 304674552. Its totient is φ = 48896000.

The previous prime is 122271997. The next prime is 122272009. The reversal of 122272000 is 272221.

It can be written as a sum of positive squares in 4 ways, for example, as 36864 + 122235136 = 192^2 + 11056^2 .

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

It is not an unprimeable number, because it can be changed into a prime (122272009) 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 7 ways as a sum of consecutive naturals, for example, 30090 + ... + 33910.

It is an arithmetic number, because the mean of its divisors is an integer number (4231591).

Almost surely, 2^122272000 is an apocalyptic number.

122272000 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 122272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152337276).

122272000 is an abundant number, since it is smaller than the sum of its proper divisors (182402552).

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

122272000 is an frugal number, since it uses more digits than its factorization.

122272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3852 (or 3828 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 122272000 is about 11057.6670233825. The cubic root of 122272000 is about 496.3358807179.

The spelling of 122272000 in words is "one hundred twenty-two million, two hundred seventy-two thousand".