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12102220311032 = 23236716723325229
BaseRepresentation
bin1011000000011100010010…
…0010101110100111111000
31120211221221112121221012002
42300013010202232213320
53041240321344423112
641423403330040132
72356233205223015
oct260070442564770
946757845557162
1012102220311032
1139465829524a5
1214355a9119048
1369a3081c2827
142dba7188670c
1515ec1703a1c2
hexb01c48ae9f8

12102220311032 has 128 divisors (see below), whose sum is σ = 24280286284800. Its totient is φ = 5642940914688.

The previous prime is 12102220310989. The next prime is 12102220311061. The reversal of 12102220311032 is 23011302220121.

It is a junction number, because it is equal to n+sod(n) for n = 12102220310995 and 12102220311013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 479682194 + ... + 479707422.

It is an arithmetic number, because the mean of its divisors is an integer number (189689736600).

Almost surely, 212102220311032 is an apocalyptic number.

It is an amenable number.

12102220311032 is an abundant number, since it is smaller than the sum of its proper divisors (12178065973768).

12102220311032 is a wasteful number, since it uses less digits than its factorization.

12102220311032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25725 (or 25721 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12102220311032 its reverse (23011302220121), we get a palindrome (35113522531153).

The spelling of 12102220311032 in words is "twelve trillion, one hundred two billion, two hundred twenty million, three hundred eleven thousand, thirty-two".

Divisors: 1 2 4 8 23 46 67 92 134 167 184 233 268 334 466 536 668 932 1336 1541 1864 3082 3841 5359 6164 7682 10718 11189 12328 15364 15611 21436 22378 25229 30728 31222 38911 42872 44756 50458 62444 77822 89512 100916 124888 155644 201832 257347 311288 359053 514694 580267 718106 894953 1029388 1160534 1436212 1690343 1789906 2058776 2321068 2607037 2872424 3380686 3579812 4213243 4642136 5214074 5878357 6761372 7159624 8426486 10428148 11756714 13522744 16852972 20856296 23513428 33705944 38877889 47026856 59961851 77755778 96904589 119923702 135202211 155511556 193809178 239847404 270404422 282287281 311023112 387618356 393849919 479694808 540808844 564574562 775236712 787699838 981685619 1081617688 1129149124 1575399676 1963371238 2258298248 3150799352 3926742476 6492607463 7853484952 9058548137 12985214926 18117096274 22578769237 25970429852 36234192548 45157538474 51940859704 65772936473 72468385096 90315076948 131545872946 180630153896 263091745892 526183491784 1512777538879 3025555077758 6051110155516 12102220311032