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12050611465332 = 22311230743162723
BaseRepresentation
bin1010111101011100000001…
…1010100110110001110100
31120200000201211110221011110
42233113000122212301310
53034414123013342312
641343550253235020
72352425246246016
oct257270032466164
946600654427143
1012050611465332
1139266aa016900
1214275a5492a70
136954a20409cb
142d93775dc1b6
1515d6e62ea43c
hexaf5c06a6c74

12050611465332 has 144 divisors (see below), whose sum is σ = 31079776121856. Its totient is φ = 3631302734400.

The previous prime is 12050611465331. The next prime is 12050611465349. The reversal of 12050611465332 is 23356411605021.

It is a happy number.

12050611465332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12050611465331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192092923 + ... + 192155645.

It is an arithmetic number, because the mean of its divisors is an integer number (215831778624).

Almost surely, 212050611465332 is an apocalyptic number.

12050611465332 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 12050611465332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15539888060928).

12050611465332 is an abundant number, since it is smaller than the sum of its proper divisors (19029164656524).

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

12050611465332 is a wasteful number, since it uses less digits than its factorization.

12050611465332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63490 (or 63477 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 12050611465332 in words is "twelve trillion, fifty billion, six hundred eleven million, four hundred sixty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 307 363 431 484 614 726 862 921 1228 1293 1452 1724 1842 2586 3377 3684 4741 5172 6754 9482 10131 13508 14223 18964 20262 28446 37147 40524 52151 56892 62723 74294 104302 111441 125446 132317 148588 156453 188169 208604 222882 250892 264634 312906 376338 396951 445764 529268 625812 689953 752676 793902 1379906 1455487 1587804 2069859 2759812 2910974 4139718 4366461 5821948 7589483 8279436 8732922 15178966 16010357 17465844 19255961 22768449 27033613 30357932 32020714 38511922 45536898 48031071 54067226 57767883 64041428 77023844 81100839 91073796 96062142 108134452 115535766 162201678 192124284 211815571 231071532 297369743 324403356 423631142 594739486 635446713 847262284 892109229 1189478972 1270893426 1784218458 2329971281 2541786852 3271067173 3568436916 4659942562 6542134346 6989913843 8299319191 9319885124 9813201519 13084268692 13979827686 16598638382 19626403038 24897957573 27959655372 33197276764 39252806076 49795915146 91292511101 99591830292 182585022202 273877533303 365170044404 547755066606 1004217622111 1095510133212 2008435244222 3012652866333 4016870488444 6025305732666 12050611465332