30012312323100 has 288 divisors, whose sum is σ = 91380446277120. Its totient is φ = 7595559336960.

The previous prime is 30012312323069. The next prime is 30012312323167. The reversal of 30012312323100 is 132321321003.

30012312323100 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×30012312323100² (a number of 28 digits) contains 22 as substring.

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, 354591586 + ... + 354676214.

It is an arithmetic number, because the mean of its divisors is an integer number (317293216240).

Almost surely, 2^{30012312323100} is an apocalyptic number.

30012312323100 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 30012312323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45690223138560).

30012312323100 is an abundant number, since it is smaller than the sum of its proper divisors (61368133954020).

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

30012312323100 is a wasteful number, since it uses less digits than its factorization.

30012312323100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85469 (or 85462 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 30012312323100 its reverse (132321321003), we get a palindrome (30144633644103).

The spelling of 30012312323100 in words is "thirty trillion, twelve billion, three hundred twelve million, three hundred twenty-three thousand, one hundred".