111825720148000 has 96 divisors (see below), whose sum is σ = 277476149806128. Its totient is φ = 44287413760000.

The previous prime is 111825720147961. The next prime is 111825720148001. The reversal of 111825720148000 is 841027528111.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 10828285284496 + 100997434863504 = 3290636^2 + 10049748^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (111825720148001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137994169 + ... + 138802168.

Almost surely, 2^{111825720148000} is an apocalyptic number.

111825720148000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111825720148000 is an abundant number, since it is smaller than the sum of its proper divisors (165650429658128).

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

111825720148000 is a wasteful number, since it uses less digits than its factorization.

111825720148000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276796463 (or 276796445 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 40.

The spelling of 111825720148000 in words is "one hundred eleven trillion, eight hundred twenty-five billion, seven hundred twenty million, one hundred forty-eight thousand".