203121400434000 has 320 divisors, whose sum is σ = 655527150720000. Its totient is φ = 54110839603200.

The previous prime is 203121400433981. The next prime is 203121400434061. The reversal of 203121400434000 is 434004121302.

It is a super-3 number, since 3×203121400434000³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36473583216 + ... + 36473588784.

It is an arithmetic number, because the mean of its divisors is an integer number (2048522346000).

Almost surely, 2^{203121400434000} is an apocalyptic number.

203121400434000 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 203121400434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327763575360000).

203121400434000 is an abundant number, since it is smaller than the sum of its proper divisors (452405750286000).

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

203121400434000 is a wasteful number, since it uses less digits than its factorization.

203121400434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10663 (or 10647 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 203121400434000 its reverse (434004121302), we get a palindrome (203555404555302).

The spelling of 203121400434000 in words is "two hundred three trillion, one hundred twenty-one billion, four hundred million, four hundred thirty-four thousand".