1561120218000 has 960 divisors, whose sum is σ = 6597820569600. Its totient is φ = 336066278400.

The previous prime is 1561120217983. The next prime is 1561120218017. The reversal of 1561120218000 is 8120211651.

1561120218000 is a `hidden beast` number, since 1 + 5 + 611 + 20 + 21 + 8 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1561120217983) and next prime (1561120218017).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 428524179 + ... + 428527821.

It is an arithmetic number, because the mean of its divisors is an integer number (6872729760).

Almost surely, 2^{1561120218000} is an apocalyptic number.

1561120218000 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 1561120218000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3298910284800).

1561120218000 is an abundant number, since it is smaller than the sum of its proper divisors (5036700351600).

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

1561120218000 is a wasteful number, since it uses less digits than its factorization.

1561120218000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3877 (or 3858 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

Adding to 1561120218000 its reverse (8120211651), we get a palindrome (1569240429651).

The spelling of 1561120218000 in words is "one trillion, five hundred sixty-one billion, one hundred twenty million, two hundred eighteen thousand".