30022032123200 has 672 divisors, whose sum is σ = 87557339971584. Its totient is φ = 10028358696960.

The previous prime is 30022032123197. The next prime is 30022032123227. The reversal of 30022032123200 is 232123022003.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1085891777 + ... + 1085919423.

It is an arithmetic number, because the mean of its divisors is an integer number (130293660672).

Almost surely, 2^{30022032123200} 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 30022032123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43778669985792).

30022032123200 is an abundant number, since it is smaller than the sum of its proper divisors (57535307848384).

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

30022032123200 is a wasteful number, since it uses less digits than its factorization.

30022032123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27819 (or 27804 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 30022032123200 its reverse (232123022003), we get a palindrome (30254155145203).

The spelling of 30022032123200 in words is "thirty trillion, twenty-two billion, thirty-two million, one hundred twenty-three thousand, two hundred".