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14032121010120 = 2333512992704639
BaseRepresentation
bin1100110000110001101110…
…0101101001011111001000
31211200110100122021100001000
43030030123211221133020
53314400240434310440
645502133431455000
72645534016420303
oct314143345513710
954613318240030
1014032121010120
11451aa97547a44
1216a7628b27460
137aa2b9882005
14367230471b3a
1519501ad3e730
hexcc31b9697c8

14032121010120 has 64 divisors (see below), whose sum is σ = 46773736704000. Its totient is φ = 3741898935744.

The previous prime is 14032121010107. The next prime is 14032121010163. The reversal of 14032121010120 is 2101012123041.

14032121010120 is a `hidden beast` number, since 1 + 4 + 0 + 321 + 210 + 10 + 120 = 666.

14032121010120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×140321210101202 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 14032121010093 and 14032121010102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6496351240 + ... + 6496353399.

It is an arithmetic number, because the mean of its divisors is an integer number (730839636000).

Almost surely, 214032121010120 is an apocalyptic number.

14032121010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14032121010120 is an abundant number, since it is smaller than the sum of its proper divisors (32741615693880).

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

14032121010120 is a wasteful number, since it uses less digits than its factorization.

14032121010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12992704659 (or 12992704649 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 14032121010120 its reverse (2101012123041), we get a palindrome (16133133133161).

The spelling of 14032121010120 in words is "fourteen trillion, thirty-two billion, one hundred twenty-one million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 12992704639 25985409278 38978113917 51970818556 64963523195 77956227834 103941637112 116934341751 129927046390 155912455668 194890569585 233868683502 259854092780 311824911336 350803025253 389781139170 467737367004 519708185560 584671708755 701606050506 779562278340 935474734008 1169343417510 1403212101012 1559124556680 1754015126265 2338686835020 2806424202024 3508030252530 4677373670040 7016060505060 14032121010120