1011544125312 has 128 divisors (see below), whose sum is σ = 3142172309760. Its totient is φ = 282291351552.

The previous prime is 1011544125307. The next prime is 1011544125359. The reversal of 1011544125312 is 2135214451101.

1011544125312 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 (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1011544125312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4260213 + ... + 4491380.

It is an arithmetic number, because the mean of its divisors is an integer number (24548221170).

Almost surely, 2^{1011544125312} is an apocalyptic number.

1011544125312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1011544125312 is an abundant number, since it is smaller than the sum of its proper divisors (2130628184448).

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

1011544125312 is an equidigital number, since it uses as much as digits as its factorization.

1011544125312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8751660 (or 8751648 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

Adding to 1011544125312 its reverse (2135214451101), we get a palindrome (3146758576413).

The spelling of 1011544125312 in words is "one trillion, eleven billion, five hundred forty-four million, one hundred twenty-five thousand, three hundred twelve".