122776211757680 has 160 divisors (see below), whose sum is σ = 311289654312000. Its totient is φ = 44761653043200.

The previous prime is 122776211757659. The next prime is 122776211757713. The reversal of 122776211757680 is 86757112677221.

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 31 ways as a sum of consecutive naturals, for example, 155067446 + ... + 155857194.

It is an arithmetic number, because the mean of its divisors is an integer number (1945560339450).

Almost surely, 2^{122776211757680} is an apocalyptic number.

122776211757680 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 122776211757680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155644827156000).

122776211757680 is an abundant number, since it is smaller than the sum of its proper divisors (188513442554320).

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

122776211757680 is a wasteful number, since it uses less digits than its factorization.

122776211757680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791659 (or 791653 counting only the distinct ones).

The product of its (nonzero) digits is 27659520, while the sum is 62.

The spelling of 122776211757680 in words is "one hundred twenty-two trillion, seven hundred seventy-six billion, two hundred eleven million, seven hundred fifty-seven thousand, six hundred eighty".