122647316767360 has 1152 divisors, whose sum is σ = 379539259545600. Its totient is φ = 37757588520960.

The previous prime is 122647316767309. The next prime is 122647316767411. The reversal of 122647316767360 is 63767613746221.

It is an interprime number because it is at equal distance from previous prime (122647316767309) and next prime (122647316767411).

It is a super-2 number, since 2×122647316767360² (a number of 29 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 147946099426 + ... + 147946100254.

It is an arithmetic number, because the mean of its divisors is an integer number (329461162800).

Almost surely, 2^{122647316767360} is an apocalyptic number.

122647316767360 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 122647316767360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189769629772800).

122647316767360 is an abundant number, since it is smaller than the sum of its proper divisors (256891942778240).

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

122647316767360 is a wasteful number, since it uses less digits than its factorization.

122647316767360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 61.

The spelling of 122647316767360 in words is "one hundred twenty-two trillion, six hundred forty-seven billion, three hundred sixteen million, seven hundred sixty-seven thousand, three hundred sixty".