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12223231211120 = 2451973337326881
BaseRepresentation
bin1011000111011111000101…
…0110101011011001110000
31121021112021222222120220112
42301313301112223121300
53100231134142223440
641555135213400452
72401046031005006
oct261676126533160
947245258876815
1012223231211120
1139929303a5836
121454b3b499128
136a8851962517
14303871176a76
15162e4ab26965
hexb1df15ab670

12223231211120 has 160 divisors (see below), whose sum is σ = 30414618012480. Its totient is φ = 4554939432960.

The previous prime is 12223231211089. The next prime is 12223231211129. The reversal of 12223231211120 is 2111213232221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12223231211129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37230080 + ... + 37556960.

It is an arithmetic number, because the mean of its divisors is an integer number (190091362578).

Almost surely, 212223231211120 is an apocalyptic number.

12223231211120 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 12223231211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15207309006240).

12223231211120 is an abundant number, since it is smaller than the sum of its proper divisors (18191386801360).

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

12223231211120 is a wasteful number, since it uses less digits than its factorization.

12223231211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327323 (or 327317 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 12223231211120 its reverse (2111213232221), we get a palindrome (14334444443341).

The spelling of 12223231211120 in words is "twelve trillion, two hundred twenty-three billion, two hundred thirty-one million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 73 76 80 95 146 152 190 292 304 337 365 380 584 674 730 760 1168 1348 1387 1460 1520 1685 2696 2774 2920 3370 5392 5548 5840 6403 6740 6935 11096 12806 13480 13870 22192 24601 25612 26960 27740 32015 49202 51224 55480 64030 98404 102448 110960 123005 128060 196808 246010 256120 326881 393616 467419 492020 512240 653762 934838 984040 1307524 1634405 1869676 1968080 2337095 2615048 3268810 3739352 4674190 5230096 6210739 6537620 7478704 9348380 12421478 13075240 18696760 23862313 24842956 26150480 31053695 37393520 47724626 49685912 62107390 95449252 99371824 110158897 119311565 124214780 190898504 220317794 238623130 248429560 381797008 440635588 453383947 477246260 496859120 550794485 881271176 906767894 954492520 1101588970 1762542352 1813535788 1908985040 2093019043 2203177940 2266919735 3627071576 4186038086 4406355880 4533839470 7254143152 8041599481 8372076172 8812711760 9067678940 10465095215 16083198962 16744152344 18135357880 20930190430 32166397924 33488304688 36270715760 40207997405 41860380860 64332795848 80415994810 83720761720 128665591696 152790390139 160831989620 167441523440 305580780278 321663979240 611161560556 643327958480 763951950695 1222323121112 1527903901390 2444646242224 3055807802780 6111615605560 12223231211120