122787061057416 has 256 divisors, whose sum is σ = 375606919249920. Its totient is φ = 32705700480000.

The previous prime is 122787061057361. The next prime is 122787061057417. The reversal of 122787061057416 is 614750160787221.

It is not an unprimeable number, because it can be changed into a prime (122787061057417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16307811 + ... + 22616781.

It is an arithmetic number, because the mean of its divisors is an integer number (1467214528320).

Almost surely, 2^{122787061057416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122787061057416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187803459624960).

122787061057416 is an abundant number, since it is smaller than the sum of its proper divisors (252819858192504).

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

122787061057416 is a wasteful number, since it uses less digits than its factorization.

122787061057416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6309156 (or 6309152 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 57.

The spelling of 122787061057416 in words is "one hundred twenty-two trillion, seven hundred eighty-seven billion, sixty-one million, fifty-seven thousand, four hundred sixteen".