203132011120 has 320 divisors, whose sum is σ = 524195020800. Its totient is φ = 72912752640.

The previous prime is 203132011073. The next prime is 203132011141. The reversal of 203132011120 is 21110231302.

It is a super-2 number, since 2×203132011120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 203132011094 and 203132011103.

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, 733328422 + ... + 733328698.

It is an arithmetic number, because the mean of its divisors is an integer number (1638109440).

Almost surely, 2^203132011120 is an apocalyptic number.

203132011120 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 203132011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262097510400).

203132011120 is an abundant number, since it is smaller than the sum of its proper divisors (321063009680).

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

203132011120 is a wasteful number, since it uses less digits than its factorization.

203132011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 203132011120 its reverse (21110231302), we get a palindrome (224242242422).

The spelling of 203132011120 in words is "two hundred three billion, one hundred thirty-two million, eleven thousand, one hundred twenty".