122555040 has 192 divisors, whose sum is σ = 427182336. Its totient is φ = 29376512.

The previous prime is 122555009. The next prime is 122555051. The reversal of 122555040 is 40555221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 122555040.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 187354 + ... + 188006.

It is an arithmetic number, because the mean of its divisors is an integer number (2224908).

Almost surely, 2^122555040 is an apocalyptic number.

122555040 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 122555040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213591168).

122555040 is an abundant number, since it is smaller than the sum of its proper divisors (304627296).

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

122555040 is a wasteful number, since it uses less digits than its factorization.

122555040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 122555040 is about 11070.4579851061. The cubic root of 122555040 is about 496.7185648114.

It can be divided in two parts, 1225 and 55040, that added together give a palindrome (56265).

The spelling of 122555040 in words is "one hundred twenty-two million, five hundred fifty-five thousand, forty".