1215120672 has 72 divisors (see below), whose sum is σ = 3469156236. Its totient is φ = 403439616.

The previous prime is 1215120667. The next prime is 1215120691. The reversal of 1215120672 is 2760215121.

It can be written as a sum of positive squares in 2 ways, for example, as 1167178896 + 47941776 = 34164^2 + 6924^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 65808 + ... + 82224.

Almost surely, 2^1215120672 is an apocalyptic number.

1215120672 is a gapful number since it is divisible by the number (12) 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 1215120672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734578118).

1215120672 is an abundant number, since it is smaller than the sum of its proper divisors (2254035564).

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

1215120672 is a wasteful number, since it uses less digits than its factorization.

1215120672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16690 (or 16679 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1215120672 is about 34858.5810382465. The cubic root of 1215120672 is about 1067.1033167149.

Adding to 1215120672 its reverse (2760215121), we get a palindrome (3975335793).

It can be divided in two parts, 12151 and 20672, that added together give a palindrome (32823).

The spelling of 1215120672 in words is "one billion, two hundred fifteen million, one hundred twenty thousand, six hundred seventy-two".