122868000 has 144 divisors (see below), whose sum is σ = 436186296. Its totient is φ = 32755200.

The previous prime is 122867999. The next prime is 122868007. The reversal of 122868000 is 868221.

It can be written as a sum of positive squares in 4 ways, for example, as 68757264 + 54110736 = 8292^2 + 7356^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (122868007) 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 23 ways as a sum of consecutive naturals, for example, 34294 + ... + 37706.

Almost surely, 2^122868000 is an apocalyptic number.

122868000 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 122868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218093148).

122868000 is an abundant number, since it is smaller than the sum of its proper divisors (313318296).

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

122868000 is a wasteful number, since it uses less digits than its factorization.

122868000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3444 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 122868000 is about 11084.5838893483. The cubic root of 122868000 is about 497.1410169231.

The spelling of 122868000 in words is "one hundred twenty-two million, eight hundred sixty-eight thousand".