30123206400 has 216 divisors, whose sum is σ = 113615200384. Its totient is φ = 6885273600.

The previous prime is 30123206363. The next prime is 30123206429. The reversal of 30123206400 is 460232103.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22335 + ... + 246465.

Almost surely, 2^30123206400 is an apocalyptic number.

30123206400 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 30123206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56807600192).

30123206400 is an abundant number, since it is smaller than the sum of its proper divisors (83491993984).

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

30123206400 is a wasteful number, since it uses less digits than its factorization.

30123206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224167 (or 224148 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 30123206400 its reverse (460232103), we get a palindrome (30583438503).

The spelling of 30123206400 in words is "thirty billion, one hundred twenty-three million, two hundred six thousand, four hundred".