122616102336 has 224 divisors, whose sum is σ = 400129540608. Its totient is φ = 32270192640.

The previous prime is 122616102269. The next prime is 122616102467. The reversal of 122616102336 is 633201616221.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 122616102297 and 122616102306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8571606 + ... + 8585898.

It is an arithmetic number, because the mean of its divisors is an integer number (1786292592).

Almost surely, 2^122616102336 is an apocalyptic number.

122616102336 is a gapful number since it is divisible by the number (16) 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 122616102336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200064770304).

122616102336 is an abundant number, since it is smaller than the sum of its proper divisors (277513438272).

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

122616102336 is a wasteful number, since it uses less digits than its factorization.

122616102336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14819 (or 14809 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

Adding to 122616102336 its reverse (633201616221), we get a palindrome (755817718557).

The spelling of 122616102336 in words is "one hundred twenty-two billion, six hundred sixteen million, one hundred two thousand, three hundred thirty-six".