122533060646444 has 96 divisors (see below), whose sum is σ = 258358087787520. Its totient is φ = 49674369422592.

The previous prime is 122533060646441. The next prime is 122533060646461. The reversal of 122533060646444 is 444646060335221.

It is a junction number, because it is equal to n+sod(n) for n = 122533060646392 and 122533060646401.

It is not an unprimeable number, because it can be changed into a prime (122533060646441) 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, 1323676649 + ... + 1323769215.

It is an arithmetic number, because the mean of its divisors is an integer number (2691230081120).

Almost surely, 2^{122533060646444} is an apocalyptic number.

122533060646444 is a gapful number since it is divisible by the number (14) 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 122533060646444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129179043893760).

122533060646444 is an abundant number, since it is smaller than the sum of its proper divisors (135825027141076).

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

122533060646444 is a wasteful number, since it uses less digits than its factorization.

122533060646444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96367 (or 96365 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 50.

The spelling of 122533060646444 in words is "one hundred twenty-two trillion, five hundred thirty-three billion, sixty million, six hundred forty-six thousand, four hundred forty-four".