122668771680 has 1512 divisors, whose sum is σ = 551629999872. Its totient is φ = 25677969408.

The previous prime is 122668771637. The next prime is 122668771691. The reversal of 122668771680 is 86177866221.

It is a tau number, because it is divible by the number of its divisors (1512).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 965895777 + ... + 965895903.

It is an arithmetic number, because the mean of its divisors is an integer number (364834656).

Almost surely, 2^122668771680 is an apocalyptic number.

122668771680 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 122668771680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275814999936).

122668771680 is an abundant number, since it is smaller than the sum of its proper divisors (428961228192).

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

122668771680 is a wasteful number, since it uses less digits than its factorization.

122668771680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 122668771680 in words is "one hundred twenty-two billion, six hundred sixty-eight million, seven hundred seventy-one thousand, six hundred eighty".