122089000 has 96 divisors (see below), whose sum is σ = 314332200. Its totient is φ = 44352000.

The previous prime is 122088983. The next prime is 122089001. The reversal of 122089000 is 980221.

It can be written as a sum of positive squares in 4 ways, for example, as 25381444 + 96707556 = 5038^2 + 9834^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (122089001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120496 + ... + 121504.

Almost surely, 2^122089000 is an apocalyptic number.

122089000 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 122089000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157166100).

122089000 is an abundant number, since it is smaller than the sum of its proper divisors (192243200).

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

122089000 is a wasteful number, since it uses less digits than its factorization.

122089000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 122089000 is about 11049.3891233860. The cubic root of 122089000 is about 496.0881412039.

The spelling of 122089000 in words is "one hundred twenty-two million, eighty-nine thousand".