30122010003000 has 256 divisors, whose sum is σ = 94313565440640. Its totient is φ = 8004111360000.

The previous prime is 30122010002999. The next prime is 30122010003031. The reversal of 30122010003000 is 30001022103.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1994695450 + ... + 1994710550.

Almost surely, 2^{30122010003000} is an apocalyptic number.

30122010003000 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 30122010003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47156782720320).

30122010003000 is an abundant number, since it is smaller than the sum of its proper divisors (64191555437640).

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

30122010003000 is a wasteful number, since it uses less digits than its factorization.

30122010003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17435 (or 17421 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 30122010003000 its reverse (30001022103), we get a palindrome (30152011025103).

The spelling of 30122010003000 in words is "thirty trillion, one hundred twenty-two billion, ten million, three thousand".