122853240 has 128 divisors (see below), whose sum is σ = 431136000. Its totient is φ = 31031424.

The previous prime is 122853239. The next prime is 122853287. The reversal of 122853240 is 42358221.

122853240 is a `hidden beast` number, since 122 + 8 + 532 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17527 + ... + 23513.

It is an arithmetic number, because the mean of its divisors is an integer number (3368250).

Almost surely, 2^122853240 is an apocalyptic number.

122853240 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 122853240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215568000).

122853240 is an abundant number, since it is smaller than the sum of its proper divisors (308282760).

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

122853240 is a wasteful number, since it uses less digits than its factorization.

122853240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6026 (or 6016 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 122853240 is about 11083.9180798128. The cubic root of 122853240 is about 497.1211091217.

The spelling of 122853240 in words is "one hundred twenty-two million, eight hundred fifty-three thousand, two hundred forty".