1025112105312 has 48 divisors (see below), whose sum is σ = 2763646834032. Its totient is φ = 332468789760.

The previous prime is 1025112105229. The next prime is 1025112105313. The reversal of 1025112105312 is 2135012115201.

1025112105312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025112105313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144297139 + ... + 144304242.

It is an arithmetic number, because the mean of its divisors is an integer number (57575975709).

Almost surely, 2^{1025112105312} is an apocalyptic number.

1025112105312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1025112105312 is an abundant number, since it is smaller than the sum of its proper divisors (1738534728720).

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

1025112105312 is a wasteful number, since it uses less digits than its factorization.

1025112105312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288601431 (or 288601423 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

The spelling of 1025112105312 in words is "one trillion, twenty-five billion, one hundred twelve million, one hundred five thousand, three hundred twelve".