81200000112 has 160 divisors (see below), whose sum is σ = 261728010240. Its totient is φ = 21074722560.

The previous prime is 81200000107. The next prime is 81200000143. The reversal of 81200000112 is 21100000218.

It is a junction number, because it is equal to n+sod(n) for n = 81200000091 and 81200000100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5251689 + ... + 5267127.

It is an arithmetic number, because the mean of its divisors is an integer number (1635800064).

Almost surely, 2^81200000112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81200000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130864005120).

81200000112 is an abundant number, since it is smaller than the sum of its proper divisors (180528010128).

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

81200000112 is a wasteful number, since it uses less digits than its factorization.

81200000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16891 (or 16885 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The spelling of 81200000112 in words is "eighty-one billion, two hundred million, one hundred twelve", and thus it is an aban number.