1215512113140 has 144 divisors (see below), whose sum is σ = 3971261116368. Its totient is φ = 299158659072.

The previous prime is 1215512113139. The next prime is 1215512113141. The reversal of 1215512113140 is 413112155121.

1215512113140 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 512 + 1 + 1 + 3 + 140 = 666.

It is an interprime number because it is at equal distance from previous prime (1215512113139) and next prime (1215512113141).

It can be written as a sum of positive squares in 8 ways, for example, as 4130118756 + 1211381994384 = 64266^2 + 1100628^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1215512113141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17461444 + ... + 17530916.

It is an arithmetic number, because the mean of its divisors is an integer number (27578202197).

Almost surely, 2^{1215512113140} is an apocalyptic number.

1215512113140 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 1215512113140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985630558184).

1215512113140 is an abundant number, since it is smaller than the sum of its proper divisors (2755749003228).

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

1215512113140 is a wasteful number, since it uses less digits than its factorization.

1215512113140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76978 (or 76973 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

Adding to 1215512113140 its reverse (413112155121), we get a palindrome (1628624268261).

The spelling of 1215512113140 in words is "one trillion, two hundred fifteen billion, five hundred twelve million, one hundred thirteen thousand, one hundred forty".