Search a number
-
+
10020121200012 = 22372112302967271
BaseRepresentation
bin1001000111001111110111…
…0000111100010110001100
31022110220200110211010020110
42101303331300330112030
52303132202011400022
633151102524120020
72052633641621100
oct221637560742614
938426613733213
1010020121200012
113213567214440
121159b72396010
13578b7c98a331
14268d95563900
151259a665000c
hex91cfdc3c58c

10020121200012 has 144 divisors (see below), whose sum is σ = 29671698712320. Its totient is φ = 2602477180800.

The previous prime is 10020121199983. The next prime is 10020121200053. The reversal of 10020121200012 is 21000212102001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148917937 + ... + 148985207.

It is an arithmetic number, because the mean of its divisors is an integer number (206053463280).

Almost surely, 210020121200012 is an apocalyptic number.

10020121200012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10020121200012 is an abundant number, since it is smaller than the sum of its proper divisors (19651577512308).

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

10020121200012 is a wasteful number, since it uses less digits than its factorization.

10020121200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90332 (or 90323 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10020121200012 its reverse (21000212102001), we get a palindrome (31020333302013).

The spelling of 10020121200012 in words is "ten trillion, twenty billion, one hundred twenty-one million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 462 539 588 924 1078 1617 2156 3234 6468 23029 46058 67271 69087 92116 134542 138174 161203 201813 253319 269084 276348 322406 403626 470897 483609 506638 644812 739981 759957 807252 941794 967218 1013276 1128421 1412691 1479962 1519914 1773233 1883588 1934436 2219943 2256842 2825382 2959924 3039828 3296279 3385263 3546466 4439886 4513684 5179867 5319699 5650764 6592558 6770526 7092932 8879772 9888837 10359734 10639398 12412631 13185116 13541052 15539601 19777674 20719468 21278796 24825262 31079202 36259069 37237893 39555348 49650524 62158404 72518138 74475786 108777207 145036276 148951572 217554414 435108828 1549183859 3098367718 4647551577 6196735436 9295103154 10844287013 17041022449 18590206308 21688574026 32532861039 34082044898 43377148052 51123067347 65065722078 68164089796 75910009091 102246134694 119287157143 130131444156 151820018182 204492269388 227730027273 238574314286 303640036364 357861471429 455460054546 477148628572 715722942858 835010100001 910920109092 1431445885716 1670020200002 2505030300003 3340040400004 5010060600006 10020121200012