122443032107008 has 192 divisors, whose sum is σ = 249116810342400. Its totient is φ = 60160791674880.

The previous prime is 122443032106991. The next prime is 122443032107051. The reversal of 122443032107008 is 800701230344221.

It is a super-2 number, since 2×122443032107008² (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 15 ways as a sum of consecutive naturals, for example, 11457188641 + ... + 11457199327.

It is an arithmetic number, because the mean of its divisors is an integer number (1297483387200).

Almost surely, 2^{122443032107008} 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 122443032107008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124558405171200).

122443032107008 is an abundant number, since it is smaller than the sum of its proper divisors (126673778235392).

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

122443032107008 is a wasteful number, since it uses less digits than its factorization.

122443032107008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11256 (or 11236 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The spelling of 122443032107008 in words is "one hundred twenty-two trillion, four hundred forty-three billion, thirty-two million, one hundred seven thousand, eight".