Search a number
-
+
12212420320 = 255712773881
BaseRepresentation
bin10110101111110101…
…01011111011100000
31011112002211020020201
423113322223323200
5200002334422240
65335454314544
7611430600652
oct132772537340
934462736221
1012212420320
1151a7658161
122449ab8a54
1311c817a219
1483bd146d2
154b722ed9a
hex2d7eabee0

12212420320 has 96 divisors (see below), whose sum is σ = 29371398336. Its totient is φ = 4797542400.

The previous prime is 12212420291. The next prime is 12212420323. The reversal of 12212420320 is 2302421221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212420323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3144780 + ... + 3148660.

It is an arithmetic number, because the mean of its divisors is an integer number (305952066).

Almost surely, 212212420320 is an apocalyptic number.

12212420320 is a gapful number since it is divisible by the number (10) 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 12212420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14685699168).

12212420320 is an abundant number, since it is smaller than the sum of its proper divisors (17158978016).

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

12212420320 is a wasteful number, since it uses less digits than its factorization.

12212420320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4244 (or 4236 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 12212420320 its reverse (2302421221), we get a palindrome (14514841541).

Subtracting from 12212420320 its reverse (2302421221), we obtain a palindrome (9909999099).

The spelling of 12212420320 in words is "twelve billion, two hundred twelve million, four hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 71 80 142 160 277 284 355 554 568 710 1108 1136 1385 1420 2216 2272 2770 2840 3881 4432 5540 5680 7762 8864 11080 11360 15524 19405 19667 22160 31048 38810 39334 44320 62096 77620 78668 98335 124192 155240 157336 196670 275551 310480 314672 393340 551102 620960 629344 786680 1075037 1102204 1377755 1573360 2150074 2204408 2755510 3146720 4300148 4408816 5375185 5511020 8600296 8817632 10750370 11022040 17200592 21500740 22044080 34401184 43001480 44088160 76327627 86002960 152655254 172005920 305310508 381638135 610621016 763276270 1221242032 1526552540 2442484064 3053105080 6106210160 12212420320