30121432000 has 224 divisors, whose sum is σ = 82207120320. Its totient is φ = 10841600000.

The previous prime is 30121431973. The next prime is 30121432027. The reversal of 30121432000 is 23412103.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30121431973) and next prime (30121432027).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8886306 + ... + 8889694.

Almost surely, 2^30121432000 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 30121432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41103560160).

30121432000 is an abundant number, since it is smaller than the sum of its proper divisors (52085688320).

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

30121432000 is a wasteful number, since it uses less digits than its factorization.

30121432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3528 (or 3508 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 30121432000 its reverse (23412103), we get a palindrome (30144844103).

The spelling of 30121432000 in words is "thirty billion, one hundred twenty-one million, four hundred thirty-two thousand".