122314000 has 80 divisors (see below), whose sum is σ = 308730240. Its totient is φ = 46780800.

The previous prime is 122313991. The next prime is 122314009. The reversal of 122314000 is 413221.

It is an interprime number because it is at equal distance from previous prime (122313991) and next prime (122314009).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (122314009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44671 + ... + 47329.

It is an arithmetic number, because the mean of its divisors is an integer number (3859128).

Almost surely, 2^122314000 is an apocalyptic number.

122314000 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 122314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154365120).

122314000 is an abundant number, since it is smaller than the sum of its proper divisors (186416240).

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

122314000 is a wasteful number, since it uses less digits than its factorization.

122314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2705 (or 2689 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 122314000 is about 11059.5659951013. The cubic root of 122314000 is about 496.3927040860.

Adding to 122314000 its reverse (413221), we get a palindrome (122727221).

The spelling of 122314000 in words is "one hundred twenty-two million, three hundred fourteen thousand".