122020591263312 has 160 divisors (see below), whose sum is σ = 369056216390400. Its totient is φ = 34011018915840.

The previous prime is 122020591263253. The next prime is 122020591263331. The reversal of 122020591263312 is 213362195020221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 291139218 + ... + 291558030.

It is an arithmetic number, because the mean of its divisors is an integer number (2306601352440).

Almost surely, 2^{122020591263312} is an apocalyptic number.

122020591263312 is a gapful number since it is divisible by the number (12) 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 122020591263312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184528108195200).

122020591263312 is an abundant number, since it is smaller than the sum of its proper divisors (247035625127088).

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

122020591263312 is a wasteful number, since it uses less digits than its factorization.

122020591263312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440021 (or 440015 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 122020591263312 in words is "one hundred twenty-two trillion, twenty billion, five hundred ninety-one million, two hundred sixty-three thousand, three hundred twelve".