1215015120 has 160 divisors (see below), whose sum is σ = 4565600640. Its totient is φ = 294543360.

The previous prime is 1215015107. The next prime is 1215015121. The reversal of 1215015120 is 215105121.

1215015120 is a `hidden beast` number, since 1 + 2 + 150 + 1 + 512 + 0 = 666.

It is a super-2 number, since 2×1215015120² = 2952523483657228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1215015093 and 1215015102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1215015121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1809 + ... + 49328.

It is an arithmetic number, because the mean of its divisors is an integer number (28535004).

Almost surely, 2^1215015120 is an apocalyptic number.

1215015120 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 1215015120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2282800320).

1215015120 is an abundant number, since it is smaller than the sum of its proper divisors (3350585520).

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

1215015120 is a wasteful number, since it uses less digits than its factorization.

1215015120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51170 (or 51158 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 1215015120 is about 34857.0670022594. The cubic root of 1215015120 is about 1067.0724176848.

Subtracting from 1215015120 its reverse (215105121), we obtain a palindrome (999909999).

It can be divided in two parts, 121501 and 5120, that added together give a palindrome (126621).

The spelling of 1215015120 in words is "one billion, two hundred fifteen million, fifteen thousand, one hundred twenty".