203253534120000 has 1120 divisors, whose sum is σ = 849436604676352. Its totient is φ = 41725145088000.

The previous prime is 203253534119983. The next prime is 203253534120079. The reversal of 203253534120000 is 21435352302.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 203253534120000.

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 159 ways as a sum of consecutive naturals, for example, 403788474 + ... + 404291526.

Almost surely, 2^{203253534120000} is an apocalyptic number.

203253534120000 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 203253534120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424718302338176).

203253534120000 is an abundant number, since it is smaller than the sum of its proper divisors (646183070556352).

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

203253534120000 is a wasteful number, since it uses less digits than its factorization.

203253534120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503145 (or 503120 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 203253534120000 its reverse (21435352302), we get a palindrome (203274969472302).

The spelling of 203253534120000 in words is "two hundred three trillion, two hundred fifty-three billion, five hundred thirty-four million, one hundred twenty thousand".