1012303310112 has 144 divisors (see below), whose sum is σ = 3052188397440. Its totient is φ = 317156775936.

The previous prime is 1012303310101. The next prime is 1012303310201. The reversal of 1012303310112 is 2110133032101.

1012303310112 is a `hidden beast` number, since 10 + 1 + 230 + 3 + 310 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 3498589 + ... + 3776867.

It is an arithmetic number, because the mean of its divisors is an integer number (21195752760).

Almost surely, 2^{1012303310112} is an apocalyptic number.

1012303310112 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 1012303310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526094198720).

1012303310112 is an abundant number, since it is smaller than the sum of its proper divisors (2039885087328).

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

1012303310112 is a wasteful number, since it uses less digits than its factorization.

1012303310112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279055 (or 279044 counting only the distinct ones).

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

Adding to 1012303310112 its reverse (2110133032101), we get a palindrome (3122436342213).

The spelling of 1012303310112 in words is "one trillion, twelve billion, three hundred three million, three hundred ten thousand, one hundred twelve".