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12223036992 = 263178834241
BaseRepresentation
bin10110110001000110…
…01011111001000000
31011112211210121120210
423120203023321000
5200013044140432
65340514034120
7611620046235
oct133043137100
934484717523
1012223036992
115202649671
122451578940
1311ca42668a
1483d4b978c
154b812a8cc
hex2d88cbe40

12223036992 has 112 divisors (see below), whose sum is σ = 34289341632. Its totient is φ = 3829432320.

The previous prime is 12223036949. The next prime is 12223037011. The reversal of 12223036992 is 29963032221.

It is a self number, because there is not a number n which added to its sum of digits gives 12223036992.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2879992 + ... + 2884232.

It is an arithmetic number, because the mean of its divisors is an integer number (306154836).

Almost surely, 212223036992 is an apocalyptic number.

12223036992 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 12223036992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17144670816).

12223036992 is an abundant number, since it is smaller than the sum of its proper divisors (22066304640).

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

12223036992 is a wasteful number, since it uses less digits than its factorization.

12223036992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5156 (or 5146 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The spelling of 12223036992 in words is "twelve billion, two hundred twenty-three million, thirty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 883 1088 1632 1766 2649 3264 3532 4241 5298 7064 8482 10596 12723 14128 15011 16964 21192 25446 28256 30022 33928 42384 45033 50892 56512 60044 67856 72097 84768 90066 101784 120088 135712 144194 169536 180132 203568 216291 240176 271424 288388 360264 407136 432582 480352 576776 720528 814272 865164 960704 1153552 1441056 1730328 2307104 2882112 3460656 3744803 4614208 6921312 7489606 11234409 13842624 14979212 22468818 29958424 44937636 59916848 63661651 89875272 119833696 127323302 179750544 190984953 239667392 254646604 359501088 381969906 509293208 719002176 763939812 1018586416 1527879624 2037172832 3055759248 4074345664 6111518496 12223036992