122671444656000 has 1536 divisors, whose sum is σ = 462338664652800. Its totient is φ = 28684136448000.

The previous prime is 122671444655989. The next prime is 122671444656077. The reversal of 122671444656000 is 656444176221.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12354859036 + ... + 12354868964.

It is an arithmetic number, because the mean of its divisors is an integer number (301001734800).

Almost surely, 2^{122671444656000} is an apocalyptic number.

122671444656000 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 122671444656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231169332326400).

122671444656000 is an abundant number, since it is smaller than the sum of its proper divisors (339667219996800).

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

122671444656000 is a wasteful number, since it uses less digits than its factorization.

122671444656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10053 (or 10012 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 122671444656000 in words is "one hundred twenty-two trillion, six hundred seventy-one billion, four hundred forty-four million, six hundred fifty-six thousand".