Search a number
-
+
12099304224 = 25327243127157
BaseRepresentation
bin10110100010010110…
…01011101100100000
31011020012222100010200
423101023023230200
5144234410213344
65320334025200
7605555250300
oct132113135440
934205870120
1012099304224
115149818387
122418048200
1311aa8c3717
1482acab600
154ac339069
hex2d12cbb20

12099304224 has 432 divisors, whose sum is σ = 41541147648. Its totient is φ = 3328625664.

The previous prime is 12099304211. The next prime is 12099304229. The reversal of 12099304224 is 42240399021.

12099304224 is a `hidden beast` number, since 120 + 9 + 9 + 304 + 224 = 666.

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 (12099304229) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 77065554 + ... + 77065710.

It is an arithmetic number, because the mean of its divisors is an integer number (96160064).

Almost surely, 212099304224 is an apocalyptic number.

12099304224 is a gapful number since it is divisible by the number (14) 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 12099304224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20770573824).

12099304224 is an abundant number, since it is smaller than the sum of its proper divisors (29441843424).

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

12099304224 is a wasteful number, since it uses less digits than its factorization.

12099304224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 12099304224 in words is "twelve billion, ninety-nine million, three hundred four thousand, two hundred twenty-four".