110412314012 has 192 divisors, whose sum is σ = 265124966400. Its totient is φ = 38846545920.

The previous prime is 110412314011. The next prime is 110412314053. The reversal of 110412314012 is 210413214011.

It is a super-2 number, since 2×110412314012² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110412314011) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 35742164 + ... + 35745252.

It is an arithmetic number, because the mean of its divisors is an integer number (1380859200).

Almost surely, 2^110412314012 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 110412314012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132562483200).

110412314012 is an abundant number, since it is smaller than the sum of its proper divisors (154712652388).

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

110412314012 is a wasteful number, since it uses less digits than its factorization.

110412314012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3316 (or 3314 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 110412314012 its reverse (210413214011), we get a palindrome (320825528023).

It can be divided in two parts, 110412 and 314012, that added together give a palindrome (424424).

The spelling of 110412314012 in words is "one hundred ten billion, four hundred twelve million, three hundred fourteen thousand, twelve".