1461125120000 has 800 divisors, whose sum is σ = 4586047620000. Its totient is φ = 462422016000.

The previous prime is 1461125119969. The next prime is 1461125120069. The reversal of 1461125120000 is 215211641.

It is a tau number, because it is divible by the number of its divisors (800).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 112394239994 + ... + 112394240006.

It is an arithmetic number, because the mean of its divisors is an integer number (5732559525).

Almost surely, 2^{1461125120000} is an apocalyptic number.

1461125120000 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 1461125120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2293023810000).

1461125120000 is an abundant number, since it is smaller than the sum of its proper divisors (3124922500000).

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

1461125120000 is an frugal number, since it uses more digits than its factorization.

1461125120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The spelling of 1461125120000 in words is "one trillion, four hundred sixty-one billion, one hundred twenty-five million, one hundred twenty thousand".