201112131120 has 320 divisors, whose sum is σ = 667561844736. Its totient is φ = 49909432320.

The previous prime is 201112131113. The next prime is 201112131197. The reversal of 201112131120 is 21131211102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201112131120.

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, 185015217 + ... + 185016303.

Almost surely, 2^201112131120 is an apocalyptic number.

201112131120 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 201112131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333780922368).

201112131120 is an abundant number, since it is smaller than the sum of its proper divisors (466449713616).

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

201112131120 is a wasteful number, since it uses less digits than its factorization.

201112131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 201112131120 its reverse (21131211102), we get a palindrome (222243342222).

The spelling of 201112131120 in words is "two hundred one billion, one hundred twelve million, one hundred thirty-one thousand, one hundred twenty".