12630233641216 has 81 divisors (see below), whose sum is σ = 25320451054773. Its totient is φ = 6287851269120.

The previous prime is 12630233641147. The next prime is 12630233641313. The reversal of 12630233641216 is 61214633203621.

The square root of 12630233641216 is 3553904.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2981506703616 + 9648726937600 = 1726704^2 + 3106240^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22119498211 + ... + 22119498781.

Almost surely, 2^{12630233641216} is an apocalyptic number.

12630233641216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12630233641216 is the 3553904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12630233641216

12630233641216 is an abundant number, since it is smaller than the sum of its proper divisors (12690217413557).

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

12630233641216 is an frugal number, since it uses more digits than its factorization.

12630233641216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

Adding to 12630233641216 its reverse (61214633203621), we get a palindrome (73844866844837).

It can be divided in two parts, 12630233 and 641216, that added together give a square (13271449 = 3643²).

The spelling of 12630233641216 in words is "twelve trillion, six hundred thirty billion, two hundred thirty-three million, six hundred forty-one thousand, two hundred sixteen".