1125284215920 has 240 divisors, whose sum is σ = 3585075495840. Its totient is φ = 291969763328.

The previous prime is 1125284215901. The next prime is 1125284215973. The reversal of 1125284215920 is 295124825211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91711546 + ... + 91723814.

It is an arithmetic number, because the mean of its divisors is an integer number (14937814566).

Almost surely, 2^{1125284215920} is an apocalyptic number.

1125284215920 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 1125284215920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792537747920).

1125284215920 is an abundant number, since it is smaller than the sum of its proper divisors (2459791279920).

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

1125284215920 is a wasteful number, since it uses less digits than its factorization.

1125284215920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12552 (or 12499 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The spelling of 1125284215920 in words is "one trillion, one hundred twenty-five billion, two hundred eighty-four million, two hundred fifteen thousand, nine hundred twenty".