1012320112320 has 1008 divisors, whose sum is σ = 3999923928000. Its totient is φ = 234519183360.

The previous prime is 1012320112319. The next prime is 1012320112333. The reversal of 1012320112320 is 232110232101.

1012320112320 is a `hidden beast` number, since 1 + 0 + 1 + 232 + 0 + 112 + 320 = 666.

It is a super-3 number, since 3×1012320112320³ (a number of 37 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1012320112293 and 1012320112302.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1101544821 + ... + 1101545739.

It is an arithmetic number, because the mean of its divisors is an integer number (3968178500).

Almost surely, 2^{1012320112320} is an apocalyptic number.

1012320112320 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 1012320112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999961964000).

1012320112320 is an abundant number, since it is smaller than the sum of its proper divisors (2987603815680).

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

1012320112320 is a wasteful number, since it uses less digits than its factorization.

1012320112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1012320112320 its reverse (232110232101), we get a palindrome (1244430344421).

The spelling of 1012320112320 in words is "one trillion, twelve billion, three hundred twenty million, one hundred twelve thousand, three hundred twenty".