122840640 has 336 divisors, whose sum is σ = 484284528. Its totient is φ = 28311552.

The previous prime is 122840621. The next prime is 122840647. The reversal of 122840640 is 46048221.

122840640 is a `hidden beast` number, since 12 + 2 + 8 + 4 + 0 + 640 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7750656 + 115089984 = 2784^2 + 10728^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122840647) 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 47 ways as a sum of consecutive naturals, for example, 636384 + ... + 636576.

It is an arithmetic number, because the mean of its divisors is an integer number (1441323).

Almost surely, 2^122840640 is an apocalyptic number.

122840640 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 122840640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242142264).

122840640 is an abundant number, since it is smaller than the sum of its proper divisors (361443888).

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

122840640 is a wasteful number, since it uses less digits than its factorization.

122840640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 122840640 is about 11083.3496741734. The cubic root of 122840640 is about 497.1041133954.

Adding to 122840640 its reverse (46048221), we get a palindrome (168888861).

The spelling of 122840640 in words is "one hundred twenty-two million, eight hundred forty thousand, six hundred forty".