30121056000 has 864 divisors, whose sum is σ = 126280347648. Its totient is φ = 6751641600.

The previous prime is 30121055971. The next prime is 30121056019. The reversal of 30121056000 is 65012103.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 135071889 + ... + 135072111.

Almost surely, 2^30121056000 is an apocalyptic number.

30121056000 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 30121056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63140173824).

30121056000 is an abundant number, since it is smaller than the sum of its proper divisors (96159291648).

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

30121056000 is a wasteful number, since it uses less digits than its factorization.

30121056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 30121056000 its reverse (65012103), we get a palindrome (30186068103).

The spelling of 30121056000 in words is "thirty billion, one hundred twenty-one million, fifty-six thousand".