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312132211042212 = 2232119711071733981
BaseRepresentation
bin100011011111000011111000…
…1100011111110011110100100
31111221011112210110102111222200
41012332013301203332132210
5311402433232011322322
63023503320323454500
7122513544111016131
oct10676076143763644
91457145713374880
10312132211042212
1190500588955170
122b011391b27430
1310521c30a95912
1457113cb3d3588
15261441d7918ac
hex11be1f18fe7a4

312132211042212 has 144 divisors (see below), whose sum is σ = 869681437707264. Its totient is φ = 93601827072000.

The previous prime is 312132211042199. The next prime is 312132211042261. The reversal of 312132211042212 is 212240112231213.

312132211042212 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 3 + 221 + 1 + 0 + 422 + 12 = 666.

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, 424892262 + ... + 425626242.

Almost surely, 2312132211042212 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 312132211042212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434840718853632).

312132211042212 is an abundant number, since it is smaller than the sum of its proper divisors (557549226665052).

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

312132211042212 is a wasteful number, since it uses less digits than its factorization.

312132211042212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745170 (or 745165 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 312132211042212 its reverse (212240112231213), we get a palindrome (524372323273425).

The spelling of 312132211042212 in words is "three hundred twelve trillion, one hundred thirty-two billion, two hundred eleven million, forty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 97 99 132 194 198 291 388 396 582 873 1067 1164 1746 2134 3201 3492 4268 6402 9603 11071 12804 19206 22142 33213 38412 44284 66426 99639 121781 132852 199278 243562 365343 398556 487124 730686 733981 1073887 1096029 1461372 1467962 2147774 2192058 2201943 2935924 3221661 4295548 4384116 4403886 6443322 6605829 8073791 8807772 9664983 11812757 12886644 13211658 16147582 19329966 23625514 24221373 26423316 32295164 35438271 38659932 47251028 48442746 70876542 71196157 72664119 96885492 106314813 141753084 142392314 145328238 212629626 213588471 284784628 290656476 425259252 427176942 640765413 783157727 854353884 1281530826 1566315454 2349473181 2563061652 3132630908 4698946362 7048419543 8125903651 9397892724 14096839086 16251807302 24377710953 28193678172 32503614604 48755421906 73133132859 89384940161 97510843812 146266265718 178769880322 268154820483 292532531436 357539760644 536309640966 788212654147 804464461449 1072619281932 1576425308294 1608928922898 2364637962441 3152850616588 3217857845796 4729275924882 7093913887323 8670339195617 9458551849764 14187827774646 17340678391234 26011017586851 28375655549292 34681356782468 52022035173702 78033052760553 104044070347404 156066105521106 312132211042212