31322121220032 has 112 divisors (see below), whose sum is σ = 83398266040320. Its totient is φ = 10374589361152.

The previous prime is 31322121220001. The next prime is 31322121220121. The reversal of 31322121220032 is 23002212122313.

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

It is a junction number, because it is equal to n+sod(n) for n = 31322121219984 and 31322121220011.

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, 93106273 + ... + 93442079.

It is an arithmetic number, because the mean of its divisors is an integer number (744627375360).

Almost surely, 2^{31322121220032} is an apocalyptic number.

31322121220032 is a gapful number since it is divisible by the number (32) 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 31322121220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41699133020160).

31322121220032 is an abundant number, since it is smaller than the sum of its proper divisors (52076144820288).

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

31322121220032 is a wasteful number, since it uses less digits than its factorization.

31322121220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338898 (or 338888 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 31322121220032 its reverse (23002212122313), we get a palindrome (54324333342345).

The spelling of 31322121220032 in words is "thirty-one trillion, three hundred twenty-two billion, one hundred twenty-one million, two hundred twenty thousand, thirty-two".