122444821841216 has 224 divisors, whose sum is σ = 291382508928000. Its totient is φ = 49941076082688.

The previous prime is 122444821841207. The next prime is 122444821841219. The reversal of 122444821841216 is 612148128444221.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122444821841219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1525961225 + ... + 1526041463.

It is an arithmetic number, because the mean of its divisors is an integer number (1300814772000).

Almost surely, 2^{122444821841216} is an apocalyptic number.

122444821841216 is a gapful number since it is divisible by the number (16) 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 122444821841216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145691254464000).

122444821841216 is an abundant number, since it is smaller than the sum of its proper divisors (168937687086784).

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

122444821841216 is a wasteful number, since it uses less digits than its factorization.

122444821841216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81969 (or 81959 counting only the distinct ones).

The product of its digits is 1572864, while the sum is 50.

The spelling of 122444821841216 in words is "one hundred twenty-two trillion, four hundred forty-four billion, eight hundred twenty-one million, eight hundred forty-one thousand, two hundred sixteen".