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12221028078 = 2374710161297
BaseRepresentation
bin10110110000110111…
…00001011011101110
31011112201000112212120
423120123201123232
5200012040344303
65340403013410
7611564011320
oct133033413356
934481015776
1012221028078
1152014a7306
12245096a266
1311c9ba217c
1483d115610
154b7d80553
hex2d86e16ee

12221028078 has 64 divisors (see below), whose sum is σ = 28811040768. Its totient is φ = 3383539200.

The previous prime is 12221028049. The next prime is 12221028091. The reversal of 12221028078 is 87082012221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168726 + ... + 230022.

It is an arithmetic number, because the mean of its divisors is an integer number (450172512).

Almost surely, 212221028078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12221028078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14405520384).

12221028078 is an abundant number, since it is smaller than the sum of its proper divisors (16590012690).

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

12221028078 is a wasteful number, since it uses less digits than its factorization.

12221028078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61457.

The product of its (nonzero) digits is 7168, while the sum is 33.

The spelling of 12221028078 in words is "twelve billion, two hundred twenty-one million, twenty-eight thousand, seventy-eight".

Divisors: 1 2 3 6 7 14 21 42 47 94 101 141 202 282 303 329 606 658 707 987 1414 1974 2121 4242 4747 9494 14241 28482 33229 61297 66458 99687 122594 183891 199374 367782 429079 858158 1287237 2574474 2880959 5761918 6190997 8642877 12381994 17285754 18572991 20166713 37145982 40333426 43336979 60500139 86673958 121000278 130010937 260021874 290976859 581953718 872930577 1745861154 2036838013 4073676026 6110514039 12221028078