Search a number
-
+
12010220200120 = 23515127123393137
BaseRepresentation
bin1010111011000101100011…
…1010001010000010111000
31120112011110220012001200211
42232301120322022002320
53033233412332400440
641313230300240504
72346465311203222
oct256613072120270
946464426161624
1012010220200120
11391056221948a
12141b7b2540134
13691735bb788c
142d74250a1412
1515c6302c7eea
hexaec58e8a0b8

12010220200120 has 128 divisors (see below), whose sum is σ = 27322711603200. Its totient is φ = 4751115264000.

The previous prime is 12010220200081. The next prime is 12010220200129. The reversal of 12010220200120 is 2100202201021.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12010220200120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010220200129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3828567192 + ... + 3828570328.

It is an arithmetic number, because the mean of its divisors is an integer number (213458684400).

Almost surely, 212010220200120 is an apocalyptic number.

12010220200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010220200120 is an abundant number, since it is smaller than the sum of its proper divisors (15312491403080).

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

12010220200120 is a wasteful number, since it uses less digits than its factorization.

12010220200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5909 (or 5905 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12010220200120 its reverse (2100202201021), we get a palindrome (14110422401141).

The spelling of 12010220200120 in words is "twelve trillion, ten billion, two hundred twenty million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 151 271 302 542 604 755 1084 1208 1355 1510 2168 2339 2710 3020 3137 4678 5420 6040 6274 9356 10840 11695 12548 15685 18712 23390 25096 31370 40921 46780 62740 81842 93560 125480 163684 204605 327368 353189 409210 473687 633869 706378 818420 850127 947374 1267738 1412756 1636840 1700254 1765945 1894748 2368435 2535476 2825512 3169345 3400508 3531890 3789496 4250635 4736870 5070952 6338690 6801016 7063780 7337443 8501270 9473740 12677380 14127560 14674886 17002540 18947480 25354760 29349772 34005080 36687215 58699544 73374430 95714219 128369177 146748860 191428438 256738354 293497720 382856876 478571095 513476708 641845885 765713752 957142190 1026953416 1107953893 1283691770 1914284380 1988447053 2215907786 2567383540 3828568760 3976894106 4431815572 5134767080 5539769465 7953788212 8863631144 9942235265 11079538930 15907576424 19884470530 22159077860 39768941060 44318155720 79537882120 300255505003 600511010006 1201022020012 1501277525015 2402044040024 3002555050030 6005110100060 12010220200120