30123120000 has 320 divisors, whose sum is σ = 100555749360. Its totient is φ = 7987200000.

The previous prime is 30123119993. The next prime is 30123120007. The reversal of 30123120000 is 2132103.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30123119993) and next prime (30123120007).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30123120007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 75119800 + ... + 75120200.

Almost surely, 2^30123120000 is an apocalyptic number.

30123120000 is a gapful number since it is divisible by the number (30) 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 30123120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50277874680).

30123120000 is an abundant number, since it is smaller than the sum of its proper divisors (70432629360).

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

30123120000 is an equidigital number, since it uses as much as digits as its factorization.

30123120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 30123120000 its reverse (2132103), we get a palindrome (30125252103).

The spelling of 30123120000 in words is "thirty billion, one hundred twenty-three million, one hundred twenty thousand".