20221122132312 has 128 divisors (see below), whose sum is σ = 54572825088000. Its totient is φ = 6224641758720.

The previous prime is 20221122132307. The next prime is 20221122132317. The reversal of 20221122132312 is 21323122112202.

It is an interprime number because it is at equal distance from previous prime (20221122132307) and next prime (20221122132317).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20221122132317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 526147737 + ... + 526186167.

It is an arithmetic number, because the mean of its divisors is an integer number (426350196000).

Almost surely, 2^{20221122132312} 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 20221122132312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27286412544000).

20221122132312 is an abundant number, since it is smaller than the sum of its proper divisors (34351702955688).

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

20221122132312 is a wasteful number, since it uses less digits than its factorization.

20221122132312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71361 (or 71357 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 20221122132312 its reverse (21323122112202), we get a palindrome (41544244244514).

The spelling of 20221122132312 in words is "twenty trillion, two hundred twenty-one billion, one hundred twenty-two million, one hundred thirty-two thousand, three hundred twelve".