30121113600 has 576 divisors, whose sum is σ = 112422492000. Its totient is φ = 8002437120.

The previous prime is 30121113569. The next prime is 30121113613. The reversal of 30121113600 is 631112103.

30121113600 is a `hidden beast` number, since 30 + 1 + 21 + 1 + 13 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111974266 + ... + 111974534.

Almost surely, 2^30121113600 is an apocalyptic number.

30121113600 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 30121113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56211246000).

30121113600 is an abundant number, since it is smaller than the sum of its proper divisors (82301378400).

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

30121113600 is an frugal number, since it uses more digits than its factorization.

30121113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 30121113600 its reverse (631112103), we get a palindrome (30752225703).

The spelling of 30121113600 in words is "thirty billion, one hundred twenty-one million, one hundred thirteen thousand, six hundred".