122010441826644 has 288 divisors, whose sum is σ = 376135968079872. Its totient is φ = 32552267904000.

The previous prime is 122010441826643. The next prime is 122010441826667. The reversal of 122010441826644 is 446628144010221.

122010441826644 is a `hidden beast` number, since 1 + 2 + 20 + 10 + 441 + 82 + 66 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 122010441826644.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122010441826643) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3047878909 + ... + 3047918939.

It is an arithmetic number, because the mean of its divisors is an integer number (1306027666944).

Almost surely, 2^{122010441826644} is an apocalyptic number.

122010441826644 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 122010441826644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188067984039936).

122010441826644 is an abundant number, since it is smaller than the sum of its proper divisors (254125526253228).

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

122010441826644 is a wasteful number, since it uses less digits than its factorization.

122010441826644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45627 (or 45622 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

Adding to 122010441826644 its reverse (446628144010221), we get a palindrome (568638585836865).

The spelling of 122010441826644 in words is "one hundred twenty-two trillion, ten billion, four hundred forty-one million, eight hundred twenty-six thousand, six hundred forty-four".