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12210211224 = 23321926993307
BaseRepresentation
bin10110101111100100…
…10000100110011000
31011111221122222221100
423113302100212120
5200001303224344
65335335111400
7611403040311
oct132762204630
934457588840
1012210211224
1151a6389462
122449212560
1311c7885873
1483b8db608
154b6e45569
hex2d7c90998

12210211224 has 96 divisors (see below), whose sum is σ = 34833240000. Its totient is φ = 3853262016.

The previous prime is 12210211183. The next prime is 12210211231. The reversal of 12210211224 is 42211201221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12210211197 and 12210211206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3690579 + ... + 3693885.

It is an arithmetic number, because the mean of its divisors is an integer number (362846250).

Almost surely, 212210211224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12210211224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17416620000).

12210211224 is an abundant number, since it is smaller than the sum of its proper divisors (22623028776).

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

12210211224 is a wasteful number, since it uses less digits than its factorization.

12210211224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6037 (or 6030 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12210211224 its reverse (42211201221), we get a palindrome (54421412445).

The spelling of 12210211224 in words is "twelve billion, two hundred ten million, two hundred eleven thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 2699 3307 5398 6614 8097 9921 10796 13228 16194 19842 21592 24291 26456 29763 32388 39684 48582 51281 59526 62833 64776 79368 97164 102562 119052 125666 153843 188499 194328 205124 238104 251332 307686 376998 410248 461529 502664 565497 615372 753996 923058 1130994 1230744 1507992 1846116 2261988 3692232 4523976 8925593 17851186 26776779 35702372 53553558 71404744 80330337 107107116 160660674 169586267 214214232 321321348 339172534 508758801 642642696 678345068 1017517602 1356690136 1526276403 2035035204 3052552806 4070070408 6105105612 12210211224