Search a number
-
+
12014121252540 = 22351138677470647
BaseRepresentation
bin1010111011010100000101…
…1011011111011010111100
31120112112112202201001120210
42232311001123133122330
53033314410020040130
641315113333312420
72346664060460001
oct256650133373274
946475482631523
1012014121252540
11391218426a950
121420500a95710
13691c08173814
142d76b52198a8
1515c7aca055b0
hexaed416df6bc

12014121252540 has 96 divisors (see below), whose sum is σ = 36698706261504. Its totient is φ = 2912432751360.

The previous prime is 12014121252533. The next prime is 12014121252557. The reversal of 12014121252540 is 4525212141021.

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

It is a junction number, because it is equal to n+sod(n) for n = 12014121252498 and 12014121252507.

It is a congruent number.

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, 25291497 + ... + 25762143.

It is an arithmetic number, because the mean of its divisors is an integer number (382278190224).

Almost surely, 212014121252540 is an apocalyptic number.

12014121252540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12014121252540 is an abundant number, since it is smaller than the sum of its proper divisors (24684585008964).

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

12014121252540 is a wasteful number, since it uses less digits than its factorization.

12014121252540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509347 (or 509345 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

Adding to 12014121252540 its reverse (4525212141021), we get a palindrome (16539333393561).

The spelling of 12014121252540 in words is "twelve trillion, fourteen billion, one hundred twenty-one million, two hundred fifty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 38677 77354 116031 154708 193385 232062 386770 425447 464124 470647 580155 773540 850894 941294 1160310 1276341 1411941 1701788 1882588 2127235 2320620 2353235 2552682 2823882 4254470 4706470 5105364 5177117 5647764 6381705 7059705 8508940 9412940 10354234 12763410 14119410 15531351 20708468 25526820 25885585 28238820 31062702 51771170 62125404 77656755 103542340 155313510 310627020 18203214019 36406428038 54609642057 72812856076 91016070095 109219284114 182032140190 200235354209 218438568228 273048210285 364064280380 400470708418 546096420570 600706062627 800941416836 1001176771045 1092192841140 1201412125254 2002353542090 2402824250508 3003530313135 4004707084180 6007060626270 12014121252540