122444244166752 has 144 divisors (see below), whose sum is σ = 361555991439552. Its totient is φ = 40762884839040.

The previous prime is 122444244166591. The next prime is 122444244166759. The reversal of 122444244166752 is 257661442444221.

122444244166752 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 4 + 424 + 4 + 166 + 7 + 52 = 666.

122444244166752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122444244166759) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3884374 + ... + 16123797.

It is an arithmetic number, because the mean of its divisors is an integer number (2510805496108).

Almost surely, 2^{122444244166752} is an apocalyptic number.

122444244166752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122444244166752 is an abundant number, since it is smaller than the sum of its proper divisors (239111747272800).

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

122444244166752 is an equidigital number, since it uses as much as digits as its factorization.

122444244166752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20008983 (or 20008963 counting only the distinct ones).

The product of its digits is 20643840, while the sum is 54.

The spelling of 122444244166752 in words is "one hundred twenty-two trillion, four hundred forty-four billion, two hundred forty-four million, one hundred sixty-six thousand, seven hundred fifty-two".