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1323120210012 = 2232293767511237
BaseRepresentation
bin10011010000010000000…
…111000011000001011100
311200111012112002210221200
4103100100013003001130
5133134222233210022
62451455533555500
7164410103135436
oct23202007030134
94614175083850
101323120210012
1147014a957177
1219451a345b90
1397a01054c93
144807a009656
152463da7cbac
hex134101c305c

1323120210012 has 144 divisors (see below), whose sum is σ = 3606436448160. Its totient is φ = 408138103296.

The previous prime is 1323120209981. The next prime is 1323120210053. The reversal of 1323120210012 is 2100120213231.

1323120210012 is a `hidden beast` number, since 1 + 323 + 120 + 210 + 0 + 12 = 666.

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

It is a congruent number.

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, 2332458 + ... + 2843694.

Almost surely, 21323120210012 is an apocalyptic number.

1323120210012 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 1323120210012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803218224080).

1323120210012 is an abundant number, since it is smaller than the sum of its proper divisors (2283316238148).

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

1323120210012 is a wasteful number, since it uses less digits than its factorization.

1323120210012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511380 (or 511375 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1323120210012 its reverse (2100120213231), we get a palindrome (3423240423243).

The spelling of 1323120210012 in words is "one trillion, three hundred twenty-three billion, one hundred twenty million, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 37 58 67 74 87 111 116 134 148 174 201 222 261 268 333 348 402 444 522 603 666 804 1044 1073 1206 1332 1943 2146 2412 2479 3219 3886 4292 4958 5829 6438 7437 7772 9657 9916 11658 12876 14874 17487 19314 22311 23316 29748 34974 38628 44622 69948 71891 89244 143782 215673 287564 431346 511237 647019 862692 1022474 1294038 1533711 2044948 2588076 3067422 4601133 6134844 9202266 14825873 18404532 18915769 29651746 34252879 37831538 44477619 56747307 59303492 68505758 75663076 88955238 102758637 113494614 133432857 137011516 170241921 177910476 205517274 226989228 266865714 308275911 340483842 411034548 533731428 548557301 616551822 680967684 993333491 1097114602 1233103644 1267356523 1645671903 1986666982 2194229204 2534713046 2980000473 3291343806 3802069569 3973333964 4937015709 5069426092 5960000946 6582687612 7604139138 8940001419 9874031418 11406208707 11920001892 15208278276 17880002838 19748062836 22812417414 35760005676 36753339167 45624834828 73506678334 110260017501 147013356668 220520035002 330780052503 441040070004 661560105006 1323120210012