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12123312003010 = 251319231271680323
BaseRepresentation
bin1011000001101010110110…
…1101001001011111000010
31120220222101110100220022001
42300122231231021133002
53042112020333044020
641441212254134214
72360610654521245
oct260325555113702
946828343326261
1012123312003010
11395451663189a
1214396b47b136a
1369c2b9acc740
142dcab2b4725c
1516054da4a50a
hexb06adb497c2

12123312003010 has 128 divisors (see below), whose sum is σ = 26016254853120. Its totient is φ = 4024384632576.

The previous prime is 12123312002999. The next prime is 12123312003013. The reversal of 12123312003010 is 1030021332121.

12123312003010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (12123312003013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6374709 + ... + 8055031.

It is an arithmetic number, because the mean of its divisors is an integer number (203251991040).

Almost surely, 212123312003010 is an apocalyptic number.

12123312003010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12123312003010 is an abundant number, since it is smaller than the sum of its proper divisors (13892942850110).

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

12123312003010 is a wasteful number, since it uses less digits than its factorization.

12123312003010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680512.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 12123312003010 its reverse (1030021332121), we get a palindrome (13153333335131).

The spelling of 12123312003010 in words is "twelve trillion, one hundred twenty-three billion, three hundred twelve million, three thousand, ten".

Divisors: 1 2 5 10 13 19 23 26 38 46 65 95 115 127 130 190 230 247 254 299 437 494 598 635 874 1235 1270 1495 1651 2185 2413 2470 2921 2990 3302 4370 4826 5681 5842 8255 11362 12065 14605 16510 24130 28405 29210 31369 37973 55499 56810 62738 75946 110998 156845 189865 277495 313690 379730 554990 721487 1442974 1680323 3360646 3607435 7214870 8401615 16803230 21844199 31926137 38647429 43688398 63852274 77294858 109220995 159630685 193237145 213401021 218441990 319261370 386474290 415039781 426802042 502416577 734301151 830079562 1004833154 1067005105 1468602302 2075198905 2134010210 2512082885 2774213273 3671505755 4054619399 4150397810 4908223483 5024165770 5548426546 7343011510 8109238798 9545914963 9816446966 13871066365 19091829926 20273096995 24541117415 27742132730 40546193990 47729574815 49082234830 52710052187 63806905279 93256246177 95459149630 105420104374 127613810558 186512492354 263550260935 319034526395 466281230885 527100521870 638069052790 932562461770 1212331200301 2424662400602 6061656001505 12123312003010