122115004416 has 72 divisors (see below), whose sum is σ = 352690605540. Its totient is φ = 40704995328.

The previous prime is 122115004373. The next prime is 122115004433. The reversal of 122115004416 is 614400511221.

122115004416 is a `hidden beast` number, since 1 + 2 + 211 + 5 + 0 + 0 + 441 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×122115004416³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122115004416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3294150 + ... + 3331013.

Almost surely, 2^122115004416 is an apocalyptic number.

122115004416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122115004416 is an abundant number, since it is smaller than the sum of its proper divisors (230575601124).

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

122115004416 is an equidigital number, since it uses as much as digits as its factorization.

122115004416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6625191 (or 6625168 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 122115004416 its reverse (614400511221), we get a palindrome (736515515637).

The spelling of 122115004416 in words is "one hundred twenty-two billion, one hundred fifteen million, four thousand, four hundred sixteen".