30414120332100 has 144 divisors (see below), whose sum is σ = 88838575425600. Its totient is φ = 8033032465920.

The previous prime is 30414120332069. The next prime is 30414120332111. The reversal of 30414120332100 is 123302141403.

It is a happy number.

It is a super-2 number, since 2×30414120332100² (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 47 ways as a sum of consecutive naturals, for example, 88347106 + ... + 88690694.

Almost surely, 2^{30414120332100} is an apocalyptic number.

30414120332100 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 30414120332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44419287712800).

30414120332100 is an abundant number, since it is smaller than the sum of its proper divisors (58424455093500).

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

30414120332100 is a wasteful number, since it uses less digits than its factorization.

30414120332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346422 (or 346415 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 30414120332100 its reverse (123302141403), we get a palindrome (30537422473503).

The spelling of 30414120332100 in words is "thirty trillion, four hundred fourteen billion, one hundred twenty million, three hundred thirty-two thousand, one hundred".