123001004004444 has 216 divisors, whose sum is σ = 341055042613376. Its totient is φ = 37331020800000.

The previous prime is 123001004004379. The next prime is 123001004004467. The reversal of 123001004004444 is 444400400100321.

It is a super-2 number, since 2×123001004004444² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 967830984 + ... + 967958064.

Almost surely, 2^{123001004004444} 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 123001004004444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170527521306688).

123001004004444 is an abundant number, since it is smaller than the sum of its proper divisors (218054038608932).

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

123001004004444 is a wasteful number, since it uses less digits than its factorization.

123001004004444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130157 (or 130135 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 123001004004444 its reverse (444400400100321), we get a palindrome (567401404104765).

The spelling of 123001004004444 in words is "one hundred twenty-three trillion, one billion, four million, four thousand, four hundred forty-four".