1000012333320 has 1536 divisors, whose sum is σ = 4517420544000. Its totient is φ = 185140961280.

The previous prime is 1000012333267. The next prime is 1000012333339. The reversal of 1000012333320 is 233332100001.

1000012333320 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 0 + 12 + 333 + 320 = 666.

It is a super-2 number, since 2×1000012333320² (a number of 25 digits) contains 22 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 = 1000012333293 and 1000012333302.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2386664071 + ... + 2386664489.

It is an arithmetic number, because the mean of its divisors is an integer number (2941029000).

Almost surely, 2^{1000012333320} is an apocalyptic number.

1000012333320 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 1000012333320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258710272000).

1000012333320 is an abundant number, since it is smaller than the sum of its proper divisors (3517408210680).

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

1000012333320 is a wasteful number, since it uses less digits than its factorization.

1000012333320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1000012333320 its reverse (233332100001), we get a palindrome (1233344433321).

The spelling of 1000012333320 in words is "one trillion, twelve million, three hundred thirty-three thousand, three hundred twenty".