111512340000 has 360 divisors, whose sum is σ = 398666520252. Its totient is φ = 29556480000.

The previous prime is 111512339959. The next prime is 111512340001. The reversal of 111512340000 is 43215111.

111512340000 is a `hidden beast` number, since 111 + 512 + 3 + 40 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 3615857424 + 107896482576 = 60132^2 + 328476^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (111512340001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 31138210 + ... + 31141790.

Almost surely, 2^111512340000 is an apocalyptic number.

111512340000 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 111512340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199333260126).

111512340000 is an abundant number, since it is smaller than the sum of its proper divisors (287154180252).

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

111512340000 is a wasteful number, since it uses less digits than its factorization.

111512340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3790 (or 3764 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 111512340000 its reverse (43215111), we get a palindrome (111555555111).

The spelling of 111512340000 in words is "one hundred eleven billion, five hundred twelve million, three hundred forty thousand".