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12203213233112 = 23111743514736857
BaseRepresentation
bin1011000110010100100000…
…1100001001101111011000
31121012121121220121221110122
42301211020030021233120
53044414140041424422
641542025002532412
72366440000003046
oct261451014115730
947177556557418
1012203213233112
113985398807660
121451093507108
136a69b1631915
143028d2731396
15162678508d42
hexb1948309bd8

12203213233112 has 128 divisors (see below), whose sum is σ = 27050044919040. Its totient is φ = 5098087034880.

The previous prime is 12203213233111. The next prime is 12203213233157. The reversal of 12203213233112 is 21133231230221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12203213233111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331077788 + ... + 331114644.

It is an arithmetic number, because the mean of its divisors is an integer number (211328475930).

Almost surely, 212203213233112 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 12203213233112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13525022459520).

12203213233112 is an abundant number, since it is smaller than the sum of its proper divisors (14846831685928).

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

12203213233112 is a wasteful number, since it uses less digits than its factorization.

12203213233112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42081 (or 42077 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 12203213233112 its reverse (21133231230221), we get a palindrome (33336444463333).

The spelling of 12203213233112 in words is "twelve trillion, two hundred three billion, two hundred thirteen million, two hundred thirty-three thousand, one hundred twelve".

Divisors: 1 2 4 8 11 17 22 34 43 44 68 86 88 136 172 187 344 374 473 731 748 946 1462 1496 1892 2924 3784 5147 5848 8041 10294 16082 20588 32164 36857 41176 56617 64328 73714 87499 113234 147428 174998 221321 226468 294856 349996 405427 442642 452936 626569 699992 810854 885284 962489 1253138 1584851 1621708 1770568 1924978 2434531 2506276 3169702 3243416 3762457 3849956 4869062 5012552 6339404 6892259 7524914 7699912 9738124 12678808 13784518 15049828 17433361 19476248 26942467 27569036 30099656 34866722 41387027 53884934 55138072 69733444 82774054 107769868 139466888 165548108 189702979 215539736 296367137 331096216 379405958 592734274 758811916 1185468548 1517623832 2086732769 2370937096 3224950643 4173465538 6449901286 8157228097 8346931076 12899802572 16314456194 16693862152 25799605144 32628912388 35474457073 65257824776 70948914146 89729509067 138672877649 141897828292 179459018134 277345755298 283795656584 358918036268 554691510596 717836072536 1109383021192 1525401654139 3050803308278 6101606616556 12203213233112