122824074240 has 1056 divisors, whose sum is σ = 523704480000. Its totient is φ = 26531463168.

The previous prime is 122824074229. The next prime is 122824074251. The reversal of 122824074240 is 42470428221.

122824074240 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 2 + 407 + 4 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (122824074229) and next prime (122824074251).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 122824074195 and 122824074204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 300303156 + ... + 300303564.

Almost surely, 2^122824074240 is an apocalyptic number.

122824074240 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 122824074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261852240000).

122824074240 is an abundant number, since it is smaller than the sum of its proper divisors (400880405760).

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

122824074240 is a wasteful number, since it uses less digits than its factorization.

122824074240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The spelling of 122824074240 in words is "one hundred twenty-two billion, eight hundred twenty-four million, seventy-four thousand, two hundred forty".