122359004460 has 1152 divisors, whose sum is σ = 508333916160. Its totient is φ = 24131520000.

The previous prime is 122359004413. The next prime is 122359004461. The reversal of 122359004460 is 64400953221.

It is a happy number.

122359004460 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 590 + 0 + 4 + 4 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (122359004461) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 640622965 + ... + 640623155.

It is an arithmetic number, because the mean of its divisors is an integer number (441262080).

Almost surely, 2^122359004460 is an apocalyptic number.

122359004460 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 122359004460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254166958080).

122359004460 is an abundant number, since it is smaller than the sum of its proper divisors (385974911700).

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

122359004460 is a wasteful number, since it uses less digits than its factorization.

122359004460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 122359004460 its reverse (64400953221), we get a palindrome (186759957681).

The spelling of 122359004460 in words is "one hundred twenty-two billion, three hundred fifty-nine million, four thousand, four hundred sixty".