122353000 has 192 divisors, whose sum is σ = 364927680. Its totient is φ = 37968000.

The previous prime is 122352983. The next prime is 122353009. The reversal of 122353000 is 353221.

It is not an unprimeable number, because it can be changed into a prime (122353009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 538887 + ... + 539113.

It is an arithmetic number, because the mean of its divisors is an integer number (1900665).

Almost surely, 2^122353000 is an apocalyptic number.

122353000 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 122353000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182463840).

122353000 is an abundant number, since it is smaller than the sum of its proper divisors (242574680).

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

122353000 is a wasteful number, since it uses less digits than its factorization.

122353000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 122353000 is about 11061.3290340718. The cubic root of 122353000 is about 496.4454569959.

The spelling of 122353000 in words is "one hundred twenty-two million, three hundred fifty-three thousand".