321701124096 has 960 divisors, whose sum is σ = 1114221588480. Its totient is φ = 92333260800.

The previous prime is 321701124091. The next prime is 321701124097. The reversal of 321701124096 is 690421107123.

321701124096 is a `hidden beast` number, since 321 + 7 + 0 + 1 + 1 + 240 + 96 = 666.

It is a super-2 number, since 2×321701124096² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 321701124096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321701124091) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6844704745 + ... + 6844704791.

It is an arithmetic number, because the mean of its divisors is an integer number (1160647488).

Almost surely, 2^321701124096 is an apocalyptic number.

321701124096 is a gapful number since it is divisible by the number (36) 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 321701124096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557110794240).

321701124096 is an abundant number, since it is smaller than the sum of its proper divisors (792520464384).

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

321701124096 is an equidigital number, since it uses as much as digits as its factorization.

321701124096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 321701124096 in words is "three hundred twenty-one billion, seven hundred one million, one hundred twenty-four thousand, ninety-six".