112162547200 has 360 divisors, whose sum is σ = 308238943320. Its totient is φ = 40415232000.

The previous prime is 112162547153. The next prime is 112162547209. The reversal of 112162547200 is 2745261211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112162547209) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 215282940 + ... + 215283460.

It is an arithmetic number, because the mean of its divisors is an integer number (856219287).

Almost surely, 2^112162547200 is an apocalyptic number.

112162547200 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 112162547200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154119471660).

112162547200 is an abundant number, since it is smaller than the sum of its proper divisors (196076396120).

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

112162547200 is a wasteful number, since it uses less digits than its factorization.

112162547200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The spelling of 112162547200 in words is "one hundred twelve billion, one hundred sixty-two million, five hundred forty-seven thousand, two hundred".