1054112240000 has 320 divisors, whose sum is σ = 2752774580160. Its totient is φ = 401467392000.

The previous prime is 1054112239997. The next prime is 1054112240023. The reversal of 1054112240000 is 422114501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×1054112240000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 139116212 + ... + 139123788.

It is an arithmetic number, because the mean of its divisors is an integer number (8602420563).

Almost surely, 2^{1054112240000} is an apocalyptic number.

1054112240000 is a gapful number since it is divisible by the number (10) 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 1054112240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376387290080).

1054112240000 is an abundant number, since it is smaller than the sum of its proper divisors (1698662340160).

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

1054112240000 is an frugal number, since it uses more digits than its factorization.

1054112240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7695 (or 7668 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 1054112240000 its reverse (422114501), we get a palindrome (1054534354501).

The spelling of 1054112240000 in words is "one trillion, fifty-four billion, one hundred twelve million, two hundred forty thousand".