30121144400 has 120 divisors (see below), whose sum is σ = 73578219264. Its totient is φ = 11848345600.

The previous prime is 30121144393. The next prime is 30121144447. The reversal of 30121144400 is 444112103.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5918657 + ... + 5923743.

Almost surely, 2^30121144400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30121144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36789109632).

30121144400 is an abundant number, since it is smaller than the sum of its proper divisors (43457074864).

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

30121144400 is a wasteful number, since it uses less digits than its factorization.

30121144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5349 (or 5338 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 30121144400 its reverse (444112103), we get a palindrome (30565256503).

The spelling of 30121144400 in words is "thirty billion, one hundred twenty-one million, one hundred forty-four thousand, four hundred".