32111201331312 has 320 divisors, whose sum is σ = 89009184000000. Its totient is φ = 9956711890944.

The previous prime is 32111201331299. The next prime is 32111201331323. The reversal of 32111201331312 is 21313310211123.

It is a super-2 number, since 2×32111201331312² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5906048658 + ... + 5906054094.

It is an arithmetic number, because the mean of its divisors is an integer number (278153700000).

Almost surely, 2^{32111201331312} 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 32111201331312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44504592000000).

32111201331312 is an abundant number, since it is smaller than the sum of its proper divisors (56897982668688).

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

32111201331312 is a wasteful number, since it uses less digits than its factorization.

32111201331312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6848 (or 6842 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 32111201331312 its reverse (21313310211123), we get a palindrome (53424511542435).

The spelling of 32111201331312 in words is "thirty-two trillion, one hundred eleven billion, two hundred one million, three hundred thirty-one thousand, three hundred twelve".