30012311312000 has 128 divisors (see below), whose sum is σ = 74943961419600. Its totient is φ = 11952499814400.

The previous prime is 30012311311999. The next prime is 30012311312023. The reversal of 30012311312000 is 21311321003.

It can be written as a sum of positive squares in 8 ways, for example, as 4200302687296 + 25812008624704 = 2049464^2 + 5080552^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×30012311312000² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 30012311312000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 431567 + ... + 7759566.

Almost surely, 2^{30012311312000} 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 30012311312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37471980709800).

30012311312000 is an abundant number, since it is smaller than the sum of its proper divisors (44931650107600).

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

30012311312000 is an equidigital number, since it uses as much as digits as its factorization.

30012311312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8191391 (or 8191369 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 30012311312000 its reverse (21311321003), we get a palindrome (30033622633003).

The spelling of 30012311312000 in words is "thirty trillion, twelve billion, three hundred eleven million, three hundred twelve thousand".