122464444264704 has 432 divisors, whose sum is σ = 374262844650240. Its totient is φ = 39498208174080.

The previous prime is 122464444264703. The next prime is 122464444264709. The reversal of 122464444264704 is 407462444464221.

122464444264704 is a `hidden beast` number, since 12 + 2 + 4 + 64 + 4 + 442 + 64 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (122464444264703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1712681817 + ... + 1712753319.

Almost surely, 2^{122464444264704} 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 122464444264704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187131422325120).

122464444264704 is an abundant number, since it is smaller than the sum of its proper divisors (251798400385536).

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

122464444264704 is an equidigital number, since it uses as much as digits as its factorization.

122464444264704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71783 (or 71726 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 54.

The spelling of 122464444264704 in words is "one hundred twenty-two trillion, four hundred sixty-four billion, four hundred forty-four million, two hundred sixty-four thousand, seven hundred four".