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12434212223312 = 2411101233720551
BaseRepresentation
bin1011010011110001000011…
…0011010111100101010000
31122000200212121222111021012
42310330100303113211100
53112210231312121222
642240110452550052
72422225241012555
oct264742063274520
948020777874235
1012434212223312
113a64357705a20
121489a00622328
136c2705c8b539
1430db677c4a2c
151686981391e2
hexb4f10cd7950

12434212223312 has 120 divisors (see below), whose sum is σ = 26624252980416. Its totient is φ = 5579078400000.

The previous prime is 12434212223267. The next prime is 12434212223333. The reversal of 12434212223312 is 21332221243421.

It is a happy number.

It is a super-2 number, since 2×124342122233122 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

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, 605031437 + ... + 605051987.

Almost surely, 212434212223312 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 12434212223312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13312126490208).

12434212223312 is an abundant number, since it is smaller than the sum of its proper divisors (14190040757104).

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

12434212223312 is a wasteful number, since it uses less digits than its factorization.

12434212223312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21109 (or 21002 counting only the distinct ones).

The product of its digits is 27648, while the sum is 32.

Adding to 12434212223312 its reverse (21332221243421), we get a palindrome (33766433466733).

The spelling of 12434212223312 in words is "twelve trillion, four hundred thirty-four billion, two hundred twelve million, two hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 101 176 202 337 404 674 808 1111 1348 1616 2222 2696 3707 4444 5392 7414 8888 10201 14828 17776 20402 20551 29656 34037 40804 41102 59312 68074 81608 82204 112211 136148 163216 164408 224422 226061 272296 328816 374407 448844 452122 544592 748814 897688 904244 1497628 1795376 1808488 2075651 2995256 3437737 3616976 4151302 5990512 6875474 6925687 8302604 13750948 13851374 16605208 22832161 27501896 27702748 33210416 37815107 45664322 55003792 55405496 75630214 76182557 91328644 110810992 151260428 152365114 182657288 209640751 302520856 304730228 365314576 419281502 605041712 609460456 699494387 838563004 1218920912 1398988774 1677126008 2306048261 2797977548 3354252016 4612096522 5595955096 7694438257 9224193044 11191910192 15388876514 18448386088 30777753028 36896772176 61555506056 70648933087 123111012112 141297866174 282595732348 565191464696 777138263957 1130382929392 1554276527914 3108553055828 6217106111656 12434212223312