122675491609776 has 1440 divisors, whose sum is σ = 447140181196800. Its totient is φ = 32370113825280.

The previous prime is 122675491609717. The next prime is 122675491609831. The reversal of 122675491609776 is 677906194576221.

122675491609776 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 7 + 5 + 4 + 9 + 1 + 609 + 7 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 84081898935 + ... + 84081900393.

It is an arithmetic number, because the mean of its divisors is an integer number (310514014720).

Almost surely, 2^{122675491609776} is an apocalyptic number.

122675491609776 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 122675491609776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223570090598400).

122675491609776 is an abundant number, since it is smaller than the sum of its proper divisors (324464689587024).

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

122675491609776 is a wasteful number, since it uses less digits than its factorization.

122675491609776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2169 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 480090240, while the sum is 72.

The spelling of 122675491609776 in words is "one hundred twenty-two trillion, six hundred seventy-five billion, four hundred ninety-one million, six hundred nine thousand, seven hundred seventy-six".