1054240124512 has 192 divisors, whose sum is σ = 2239101688320. Its totient is φ = 487762329600.

The previous prime is 1054240124491. The next prime is 1054240124549. The reversal of 1054240124512 is 2154210424501.

It is a super-2 number, since 2×1054240124512² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362404914 + ... + 362407822.

It is an arithmetic number, because the mean of its divisors is an integer number (11661987960).

Almost surely, 2^{1054240124512} 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 1054240124512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119550844160).

1054240124512 is an abundant number, since it is smaller than the sum of its proper divisors (1184861563808).

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

1054240124512 is a wasteful number, since it uses less digits than its factorization.

1054240124512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3177 (or 3169 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 31.

The spelling of 1054240124512 in words is "one trillion, fifty-four billion, two hundred forty million, one hundred twenty-four thousand, five hundred twelve".