30233424012000 has 768 divisors, whose sum is σ = 110676908998656. Its totient is φ = 7151397120000.

The previous prime is 30233424011993. The next prime is 30233424012061. The reversal of 30233424012000 is 21042433203.

It is a super-2 number, since 2×30233424012000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6987153837 + ... + 6987158163.

It is an arithmetic number, because the mean of its divisors is an integer number (144110558592).

Almost surely, 2^{30233424012000} is an apocalyptic number.

30233424012000 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 30233424012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55338454499328).

30233424012000 is an abundant number, since it is smaller than the sum of its proper divisors (80443484986656).

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

30233424012000 is a wasteful number, since it uses less digits than its factorization.

30233424012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5640 (or 5622 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 30233424012000 its reverse (21042433203), we get a palindrome (30254466445203).

The spelling of 30233424012000 in words is "thirty trillion, two hundred thirty-three billion, four hundred twenty-four million, twelve thousand".