122787061058016 has 72 divisors (see below), whose sum is σ = 349220958801624. Its totient is φ = 40923715864320.

The previous prime is 122787061057967. The next prime is 122787061058087. The reversal of 122787061058016 is 610850160787221.

122787061058016 is a `hidden beast` number, since 1 + 2 + 2 + 7 + 8 + 7 + 0 + 610 + 5 + 8 + 0 + 16 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 25401190 + ... + 29846181.

It is an arithmetic number, because the mean of its divisors is an integer number (4850291094467).

Almost surely, 2^{122787061058016} is an apocalyptic number.

122787061058016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122787061058016 is an abundant number, since it is smaller than the sum of its proper divisors (226433897743608).

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

122787061058016 is a wasteful number, since it uses less digits than its factorization.

122787061058016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55255104 (or 55255093 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 122787061058016 in words is "one hundred twenty-two trillion, seven hundred eighty-seven billion, sixty-one million, fifty-eight thousand, sixteen".