122394240 has 192 divisors, whose sum is σ = 438852960. Its totient is φ = 32596992.

The previous prime is 122394227. The next prime is 122394241. The reversal of 122394240 is 42493221.

122394240 is a `hidden beast` number, since 1 + 2 + 239 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (122394241) 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, 155127 + ... + 155913.

Almost surely, 2^122394240 is an apocalyptic number.

122394240 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 122394240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219426480).

122394240 is an abundant number, since it is smaller than the sum of its proper divisors (316458720).

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

122394240 is an frugal number, since it uses more digits than its factorization.

122394240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 122394240 is about 11063.1930291395. The cubic root of 122394240 is about 496.5012276236.

The spelling of 122394240 in words is "one hundred twenty-two million, three hundred ninety-four thousand, two hundred forty".