30123133320000 has 560 divisors, whose sum is σ = 114586218172800. Its totient is φ = 6839049216000.

The previous prime is 30123133319971. The next prime is 30123133320121. The reversal of 30123133320000 is 2333132103.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×30123133320000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 125039662 + ... + 125280338.

Almost surely, 2^{30123133320000} is an apocalyptic number.

30123133320000 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 30123133320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57293109086400).

30123133320000 is an abundant number, since it is smaller than the sum of its proper divisors (84463084852800).

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

30123133320000 is a wasteful number, since it uses less digits than its factorization.

30123133320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240868 (or 240843 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 30123133320000 its reverse (2333132103), we get a palindrome (30125466452103).

The spelling of 30123133320000 in words is "thirty trillion, one hundred twenty-three billion, one hundred thirty-three million, three hundred twenty thousand".