203000420122400 has 144 divisors (see below), whose sum is σ = 497674527791616. Its totient is φ = 80856340561920.

The previous prime is 203000420122393. The next prime is 203000420122447. The reversal of 203000420122400 is 4221024000302.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 601622537 + ... + 601959863.

It is an arithmetic number, because the mean of its divisors is an integer number (3456073109664).

Almost surely, 2^{203000420122400} is an apocalyptic number.

203000420122400 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 203000420122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248837263895808).

203000420122400 is an abundant number, since it is smaller than the sum of its proper divisors (294674107669216).

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

203000420122400 is a wasteful number, since it uses less digits than its factorization.

203000420122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340531 (or 340518 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 203000420122400 its reverse (4221024000302), we get a palindrome (207221444122702).

The spelling of 203000420122400 in words is "two hundred three trillion, four hundred twenty million, one hundred twenty-two thousand, four hundred".