Search a number
-
+
12216720672 = 25341321672
BaseRepresentation
bin10110110000010110…
…00101110100100000
31011112101220201020000
423120023011310200
5200004440030142
65340130420000
7611512261302
oct133013056440
934471821200
1012216720672
1151aa025072
12244b431600
1311c9024700
1483c713972
154b77ce14c
hex2d82c5d20

12216720672 has 270 divisors, whose sum is σ = 39139767513. Its totient is φ = 3736482048.

The previous prime is 12216720629. The next prime is 12216720673. The reversal of 12216720672 is 27602761221.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 10445657616 + 1771063056 = 102204^2 + 42084^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=78156.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12216720673) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 73153933 + ... + 73154099.

Almost surely, 212216720672 is an apocalyptic number.

12216720672 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 12216720672

12216720672 is an abundant number, since it is smaller than the sum of its proper divisors (26923046841).

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

12216720672 is an equidigital number, since it uses as much as digits as its factorization.

12216720672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 12216720672 in words is "twelve billion, two hundred sixteen million, seven hundred twenty thousand, six hundred seventy-two".