122671674498144 has 192 divisors, whose sum is σ = 350195581274112. Its totient is φ = 37442364825600.

The previous prime is 122671674498143. The next prime is 122671674498169. The reversal of 122671674498144 is 441894476176221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122671674498143) by changing a digit.

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, 925680849 + ... + 925813359.

It is an arithmetic number, because the mean of its divisors is an integer number (1823935319136).

Almost surely, 2^{122671674498144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122671674498144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175097790637056).

122671674498144 is an abundant number, since it is smaller than the sum of its proper divisors (227523906775968).

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

122671674498144 is a wasteful number, since it uses less digits than its factorization.

122671674498144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147909 (or 147901 counting only the distinct ones).

The product of its digits is 130056192, while the sum is 66.

The spelling of 122671674498144 in words is "one hundred twenty-two trillion, six hundred seventy-one billion, six hundred seventy-four million, four hundred ninety-eight thousand, one hundred forty-four".