30121132032 has 228 divisors, whose sum is σ = 92257734816. Its totient is φ = 9437184000.

The previous prime is 30121132009. The next prime is 30121132039. The reversal of 30121132032 is 23023112103.

30121132032 is a `hidden beast` number, since 301 + 2 + 11 + 320 + 32 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 30121131996 and 30121132014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30121132039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40107657 + ... + 40108407.

Almost surely, 2^30121132032 is an apocalyptic number.

30121132032 is a gapful number since it is divisible by the number (32) 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 30121132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46128867408).

30121132032 is an abundant number, since it is smaller than the sum of its proper divisors (62136602784).

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

30121132032 is an frugal number, since it uses more digits than its factorization.

30121132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 30121132032 its reverse (23023112103), we get a palindrome (53144244135).

The spelling of 30121132032 in words is "thirty billion, one hundred twenty-one million, one hundred thirty-two thousand, thirty-two".