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1201000123332 = 223261738390263
BaseRepresentation
bin10001011110100001001…
…011111000101111000100
311020210222202121122021100
4101132201023320233010
5124134122012421312
62315422024420100
7152524621416342
oct21364113705704
94223882548240
101201000123332
114233832945a9
12174918617630
138933b869069
14421b32a8992
15213928e35dc
hex117a12f8bc4

1201000123332 has 144 divisors (see below), whose sum is σ = 3165619137408. Its totient is φ = 383692930560.

The previous prime is 1201000123319. The next prime is 1201000123357. The reversal of 1201000123332 is 2333210001021.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13260433 + ... + 13350695.

It is an arithmetic number, because the mean of its divisors is an integer number (21983466232).

Almost surely, 21201000123332 is an apocalyptic number.

1201000123332 is a gapful number since it is divisible by the number (12) 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 1201000123332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582809568704).

1201000123332 is an abundant number, since it is smaller than the sum of its proper divisors (1964619014076).

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

1201000123332 is a wasteful number, since it uses less digits than its factorization.

1201000123332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90490 (or 90485 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1201000123332 its reverse (2333210001021), we get a palindrome (3534210124353).

The spelling of 1201000123332 in words is "one trillion, two hundred one billion, one hundred twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 61 73 83 122 146 166 183 219 244 249 292 332 366 438 498 549 657 732 747 876 996 1098 1314 1494 2196 2628 2988 4453 5063 6059 8906 10126 12118 13359 15189 17812 18177 20252 24236 26718 30378 36354 40077 45567 53436 54531 60756 72708 80154 90263 91134 109062 160308 180526 182268 218124 270789 361052 369599 541578 739198 812367 1083156 1108797 1478396 1624734 2217594 3249468 3326391 4435188 5506043 6589199 6652782 7491829 11012086 13178398 13305564 14983658 16518129 19767597 22024172 22475487 26356796 29967316 33036258 39535194 44950974 49554387 59302791 66072516 67426461 79070388 89901948 99108774 118605582 134852922 198217548 237211164 269705844 401941139 457001569 546903517 803882278 914003138 1093807034 1205823417 1371004707 1607764556 1640710551 1828006276 2187614068 2411646834 2742009414 3281421102 3617470251 4113014121 4823293668 4922131653 5484018828 6562842204 7234940502 8226028242 9844263306 14469881004 16452056484 19688526612 33361114537 66722229074 100083343611 133444458148 200166687222 300250030833 400333374444 600500061666 1201000123332