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12141253520040 = 23351917569303097
BaseRepresentation
bin1011000010101101101100…
…0110100110101010101000
31120222200200211111101202210
42300223123012212222220
53042410241400120130
641453340451125120
72362114403065131
oct260533306465250
946880624441683
1012141253520040
1139610930aa117
1214410812a37a0
136a0bb8b946c8
142dd8d58acc88
15160c4dc005b0
hexb0adb1a6aa8

12141253520040 has 128 divisors (see below), whose sum is σ = 38343109392000. Its totient is φ = 3067079344128.

The previous prime is 12141253520029. The next prime is 12141253520069. The reversal of 12141253520040 is 4002535214121.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39905772 + ... + 40208868.

It is an arithmetic number, because the mean of its divisors is an integer number (299555542125).

Almost surely, 212141253520040 is an apocalyptic number.

12141253520040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12141253520040 is an abundant number, since it is smaller than the sum of its proper divisors (26201855871960).

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

12141253520040 is a wasteful number, since it uses less digits than its factorization.

12141253520040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320699 (or 320695 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 12141253520040 its reverse (4002535214121), we get a palindrome (16143788734161).

The spelling of 12141253520040 in words is "twelve trillion, one hundred forty-one billion, two hundred fifty-three million, five hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 17569 35138 52707 70276 87845 105414 140552 175690 210828 263535 303097 333811 351380 421656 527070 606194 667622 702760 909291 1001433 1054140 1212388 1335244 1515485 1669055 1818582 2002866 2108280 2424776 2670488 3030970 3338110 3637164 4005732 4546455 5007165 5758843 6061940 6676220 7274328 8011464 9092910 10014330 11517686 12123880 13352440 17276529 18185820 20028660 23035372 28794215 34553058 36371640 40057320 46070744 57588430 69106116 86382645 115176860 138212232 172765290 230353720 345530580 691061160 5325111193 10650222386 15975333579 21300444772 26625555965 31950667158 42600889544 53251111930 63901334316 79876667895 101177112667 106502223860 127802668632 159753335790 202354225334 213004447720 303531338001 319506671580 404708450668 505885563335 607062676002 639013343160 809416901336 1011771126670 1214125352004 1517656690005 2023542253340 2428250704008 3035313380010 4047084506680 6070626760020 12141253520040