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12010206012 = 22371072395591
BaseRepresentation
bin10110010111101110…
…10011001100111100
31011000000022200100220
423023313103030330
5144044103043022
65303432221340
7603424031610
oct131367231474
934000280326
1012010206012
1151034a25a2
1223b223a850
1311952c909c
1481d117340
154a45d985c
hex2cbdd333c

12010206012 has 96 divisors (see below), whose sum is σ = 32467599360. Its totient is φ = 3384588480.

The previous prime is 12010206011. The next prime is 12010206037. The reversal of 12010206012 is 21060201021.

It is a junction number, because it is equal to n+sod(n) for n = 12010205982 and 12010206000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010206011) 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, 2145337 + ... + 2150927.

It is an arithmetic number, because the mean of its divisors is an integer number (338204160).

Almost surely, 212010206012 is an apocalyptic number.

12010206012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12010206012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16233799680).

12010206012 is an abundant number, since it is smaller than the sum of its proper divisors (20457393348).

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

12010206012 is a wasteful number, since it uses less digits than its factorization.

12010206012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5951 (or 5949 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12010206012 its reverse (21060201021), we get a palindrome (33070407033).

The spelling of 12010206012 in words is "twelve billion, ten million, two hundred six thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 107 214 239 321 428 478 642 717 749 956 1284 1434 1498 1673 2247 2868 2996 3346 4494 5019 5591 6692 8988 10038 11182 16773 20076 22364 25573 33546 39137 51146 67092 76719 78274 102292 117411 153438 156548 179011 234822 306876 358022 469644 537033 598237 716044 1074066 1196474 1336249 1794711 2148132 2392948 2672498 3589422 4008747 4187659 5344996 7178844 8017494 8375318 9353743 12562977 16034988 16750636 18707486 25125954 28061229 37414972 50251908 56122458 112244916 142978643 285957286 428935929 571914572 857871858 1000850501 1715743716 2001701002 3002551503 4003402004 6005103006 12010206012