111012130000 has 100 divisors (see below), whose sum is σ = 271435041108. Its totient is φ = 43964800000.

The previous prime is 111012129997. The next prime is 111012130057. The reversal of 111012130000 is 31210111.

It can be written as a sum of positive squares in 10 ways, for example, as 65595405456 + 45416724544 = 256116^2 + 213112^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 955044 + ... + 1064956.

Almost surely, 2^111012130000 is an apocalyptic number.

111012130000 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 111012130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135717520554).

111012130000 is an abundant number, since it is smaller than the sum of its proper divisors (160422911108).

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

111012130000 is a wasteful number, since it uses less digits than its factorization.

111012130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110042 (or 110021 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 111012130000 its reverse (31210111), we get a palindrome (111043340111).

The spelling of 111012130000 in words is "one hundred eleven billion, twelve million, one hundred thirty thousand".