203493164421120 has 1664 divisors, whose sum is σ = 801685278720000. Its totient is φ = 43931247575040.

The previous prime is 203493164421083. The next prime is 203493164421167. The reversal of 203493164421120 is 21124461394302.

It is a super-2 number, since 2×203493164421120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 127 ways as a sum of consecutive naturals, for example, 191793745390 + ... + 191793746450.

Almost surely, 2^{203493164421120} is an apocalyptic number.

203493164421120 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 203493164421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400842639360000).

203493164421120 is an abundant number, since it is smaller than the sum of its proper divisors (598192114298880).

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

203493164421120 is a wasteful number, since it uses less digits than its factorization.

203493164421120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 203493164421120 in words is "two hundred three trillion, four hundred ninety-three billion, one hundred sixty-four million, four hundred twenty-one thousand, one hundred twenty".