30046123800 has 1728 divisors, whose sum is σ = 140780989440. Its totient is φ = 5878656000.

The previous prime is 30046123787. The next prime is 30046123817. The reversal of 30046123800 is 832164003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 812057382 + ... + 812057418.

It is an arithmetic number, because the mean of its divisors is an integer number (81470480).

Almost surely, 2^30046123800 is an apocalyptic number.

30046123800 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 30046123800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70390494720).

30046123800 is an abundant number, since it is smaller than the sum of its proper divisors (110734865640).

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

30046123800 is a wasteful number, since it uses less digits than its factorization.

30046123800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 30046123800 its reverse (832164003), we get a palindrome (30878287803).

The spelling of 30046123800 in words is "thirty billion, forty-six million, one hundred twenty-three thousand, eight hundred".