1215414313020 has 288 divisors, whose sum is σ = 3949660915200. Its totient is φ = 301969479168.

The previous prime is 1215414312971. The next prime is 1215414313031. The reversal of 1215414313020 is 203134145121.

1215414313020 is a `hidden beast` number, since 1 + 215 + 4 + 143 + 1 + 302 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18597561 + ... + 18662799.

It is an arithmetic number, because the mean of its divisors is an integer number (13714100400).

Almost surely, 2^{1215414313020} is an apocalyptic number.

1215414313020 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 1215414313020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974830457600).

1215414313020 is an abundant number, since it is smaller than the sum of its proper divisors (2734246602180).

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

1215414313020 is a wasteful number, since it uses less digits than its factorization.

1215414313020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65409 (or 65404 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 1215414313020 its reverse (203134145121), we get a palindrome (1418548458141).

The spelling of 1215414313020 in words is "one trillion, two hundred fifteen billion, four hundred fourteen million, three hundred thirteen thousand, twenty".