320101101222012 has 192 divisors, whose sum is σ = 909470854656000. Its totient is φ = 96557589596160.

The previous prime is 320101101221983. The next prime is 320101101222013. The reversal of 320101101222012 is 210222101101023.

320101101222012 is a `hidden beast` number, since 320 + 1 + 0 + 110 + 1 + 2 + 220 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320101101222013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1023187989 + ... + 1023500787.

It is an arithmetic number, because the mean of its divisors is an integer number (4736827368000).

Almost surely, 2^{320101101222012} 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 320101101222012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454735427328000).

320101101222012 is an abundant number, since it is smaller than the sum of its proper divisors (589369753433988).

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

320101101222012 is a wasteful number, since it uses less digits than its factorization.

320101101222012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316753 (or 316745 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 320101101222012 its reverse (210222101101023), we get a palindrome (530323202323035).

The spelling of 320101101222012 in words is "three hundred twenty trillion, one hundred one billion, one hundred one million, two hundred twenty-two thousand, twelve".