110132000331012 has 288 divisors, whose sum is σ = 320949583718400. Its totient is φ = 31527559929600.

The previous prime is 110132000330981. The next prime is 110132000331047. The reversal of 110132000331012 is 210133000231011.

110132000331012 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 320 + 0 + 0 + 331 + 0 + 12 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1927411539 + ... + 1927468677.

It is an arithmetic number, because the mean of its divisors is an integer number (1114408276800).

Almost surely, 2^{110132000331012} is an apocalyptic number.

110132000331012 is a gapful number since it is divisible by the number (12) 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 110132000331012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160474791859200).

110132000331012 is an abundant number, since it is smaller than the sum of its proper divisors (210817583387388).

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

110132000331012 is a wasteful number, since it uses less digits than its factorization.

110132000331012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60807 (or 60802 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 110132000331012 its reverse (210133000231011), we get a palindrome (320265000562023).

The spelling of 110132000331012 in words is "one hundred ten trillion, one hundred thirty-two billion, three hundred thirty-one thousand, twelve".