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12132112121213 = 7172311394613019
BaseRepresentation
bin1011000010001011101000…
…1110111011110101111101
31120221211002202100020000212
42300202322032323311331
53042233031200334323
641445225415202205
72361342022346450
oct260427216736575
946854082306025
1012132112121213
113958222010957
12143b34b976365
136a0090037486
142dd2a97ab497
151608b63e2b78
hexb08ba3bbd7d

12132112121213 has 96 divisors (see below), whose sum is σ = 15351658291200. Its totient is φ = 9379886054400.

The previous prime is 12132112121149. The next prime is 12132112121243. The reversal of 12132112121213 is 31212121123121.

It is not a de Polignac number, because 12132112121213 - 26 = 12132112121149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132112121243) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4018584818 + ... + 4018587836.

It is an arithmetic number, because the mean of its divisors is an integer number (159913107200).

Almost surely, 212132112121213 is an apocalyptic number.

It is an amenable number.

12132112121213 is a deficient number, since it is larger than the sum of its proper divisors (3219546169987).

12132112121213 is a wasteful number, since it uses less digits than its factorization.

12132112121213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3691 (or 3674 counting only the distinct ones).

The product of its digits is 288, while the sum is 23.

Adding to 12132112121213 its reverse (31212121123121), we get a palindrome (43344233244334).

The spelling of 12132112121213 in words is "twelve trillion, one hundred thirty-two billion, one hundred twelve million, one hundred twenty-one thousand, two hundred thirteen".

Divisors: 1 7 17 31 119 139 217 289 461 527 973 2023 2363 3019 3227 3689 4309 7837 8959 14291 16541 21133 30163 40171 51323 54859 62713 64079 73253 93589 100037 133229 242947 281197 359261 419641 448553 512771 655123 872491 932603 1089343 1245301 1391759 1591013 1700629 1986449 2937487 4130099 6107437 7133897 7625401 8717107 9742313 11137091 13008871 13905143 18518831 23659903 27047221 28910693 33769633 43144529 49937279 91062097 121276249 129631817 165619321 189330547 193454501 221150807 236387431 302011703 402218351 574083761 733456993 848933743 1354181507 1548055649 2815528457 3288726517 3759563719 4018586327 5134198951 5997089531 12468768881 23021085619 26316946033 41979626717 55908350789 87281382167 101950522027 391358455523 713653654189 1733158874459 12132112121213