112321019664000 has 1536 divisors, whose sum is σ = 469724302195200. Its totient is φ = 25189097472000.

The previous prime is 112321019663989. The next prime is 112321019664013. The reversal of 112321019664000 is 466910123211.

It is a happy number.

112321019664000 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 2 + 1 + 0 + 1 + 9 + 6 + 640 + 0 + 0 = 666.

It is a super-2 number, since 2×112321019664000² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36694222470 + ... + 36694225530.

It is an arithmetic number, because the mean of its divisors is an integer number (305810092575).

Almost surely, 2^{112321019664000} is an apocalyptic number.

112321019664000 is a gapful number since it is divisible by the number (10) 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 112321019664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234862151097600).

112321019664000 is an abundant number, since it is smaller than the sum of its proper divisors (357403282531200).

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

112321019664000 is a wasteful number, since it uses less digits than its factorization.

112321019664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3779 (or 3754 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Adding to 112321019664000 its reverse (466910123211), we get a palindrome (112787929787211).

The spelling of 112321019664000 in words is "one hundred twelve trillion, three hundred twenty-one billion, nineteen million, six hundred sixty-four thousand".