122681641420800 has 6912 divisors, whose sum is σ = 624178450022400. Its totient is φ = 22235892940800.

The previous prime is 122681641420799. The next prime is 122681641420831. The reversal of 122681641420800 is 8024146186221.

122681641420800 is a `hidden beast` number, since 1 + 2 + 2 + 68 + 164 + 1 + 420 + 8 + 0 + 0 = 666.

122681641420800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 575 ways as a sum of consecutive naturals, for example, 513312307081 + ... + 513312307319.

It is an arithmetic number, because the mean of its divisors is an integer number (90303595200).

Almost surely, 2^{122681641420800} is an apocalyptic number.

122681641420800 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 122681641420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312089225011200).

122681641420800 is an abundant number, since it is smaller than the sum of its proper divisors (501496808601600).

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

122681641420800 is a wasteful number, since it uses less digits than its factorization.

122681641420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 122681641420800 in words is "one hundred twenty-two trillion, six hundred eighty-one billion, six hundred forty-one million, four hundred twenty thousand, eight hundred".