30440335121200 has 120 divisors (see below), whose sum is σ = 73299659191200. Its totient is φ = 12148390195200.

The previous prime is 30440335121197. The next prime is 30440335121263. The reversal of 30440335121200 is 212153304403.

It is a happy number.

It is a super-2 number, since 2×30440335121200² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 523009701 + ... + 523067899.

It is an arithmetic number, because the mean of its divisors is an integer number (610830493260).

Almost surely, 2^{30440335121200} 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 30440335121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36649829595600).

30440335121200 is an abundant number, since it is smaller than the sum of its proper divisors (42859324070000).

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

30440335121200 is a wasteful number, since it uses less digits than its factorization.

30440335121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61175 (or 61164 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 30440335121200 its reverse (212153304403), we get a palindrome (30652488425603).

The spelling of 30440335121200 in words is "thirty trillion, four hundred forty billion, three hundred thirty-five million, one hundred twenty-one thousand, two hundred".