203121012000 has 192 divisors, whose sum is σ = 668289533184. Its totient is φ = 53932390400.

The previous prime is 203121011993. The next prime is 203121012011. The reversal of 203121012000 is 210121302.

203121012000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2759677 + ... + 2832323.

It is an arithmetic number, because the mean of its divisors is an integer number (3480674652).

Almost surely, 2^203121012000 is an apocalyptic number.

203121012000 is a gapful number since it is divisible by the number (20) 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 203121012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334144766592).

203121012000 is an abundant number, since it is smaller than the sum of its proper divisors (465168521184).

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

203121012000 is a wasteful number, since it uses less digits than its factorization.

203121012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72908 (or 72890 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 203121012000 its reverse (210121302), we get a palindrome (203331133302).

The spelling of 203121012000 in words is "two hundred three billion, one hundred twenty-one million, twelve thousand".