122276076768 has 96 divisors (see below), whose sum is σ = 356773374720. Its totient is φ = 40743285120.

The previous prime is 122276076761. The next prime is 122276076779. The reversal of 122276076768 is 867670672221.

122276076768 is a `hidden beast` number, since 1 + 2 + 2 + 27 + 607 + 6 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122276076761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2386071 + ... + 2436777.

It is an arithmetic number, because the mean of its divisors is an integer number (3716389320).

Almost surely, 2^122276076768 is an apocalyptic number.

122276076768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

122276076768 is an abundant number, since it is smaller than the sum of its proper divisors (234497297952).

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

122276076768 is a wasteful number, since it uses less digits than its factorization.

122276076768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53517 (or 53503 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 122276076768 in words is "one hundred twenty-two billion, two hundred seventy-six million, seventy-six thousand, seven hundred sixty-eight".