112201001120 has 96 divisors (see below), whose sum is σ = 286651023120. Its totient is φ = 41255976960.

The previous prime is 112201001117. The next prime is 112201001173. The reversal of 112201001120 is 21100102211.

It can be written as a sum of positive squares in 8 ways, for example, as 81747959056 + 30453042064 = 285916^2 + 174508^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 389366 + ... + 613194.

Almost surely, 2^112201001120 is an apocalyptic number.

112201001120 is a gapful number since it is divisible by the number (10) 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 112201001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143325511560).

112201001120 is an abundant number, since it is smaller than the sum of its proper divisors (174450022000).

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

112201001120 is a wasteful number, since it uses less digits than its factorization.

112201001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224098 (or 224090 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 112201001120 its reverse (21100102211), we get a palindrome (133301103331).

The spelling of 112201001120 in words is "one hundred twelve billion, two hundred one million, one thousand, one hundred twenty".