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12012121010100 = 22352229174848923
BaseRepresentation
bin1010111011001100101000…
…1101001010111110110100
31120112100101100220012210110
42232303022031022332310
53033301310434310400
641314143041223020
72346563361625251
oct256631215127664
946470340805713
1012012121010100
113911348178122
121420043031a70
13691979943003
142d75656da428
1515c6e20e5e50
hexaecca34afb4

12012121010100 has 72 divisors (see below), whose sum is σ = 34906839187360. Its totient is φ = 3189244337280.

The previous prime is 12012121010093. The next prime is 12012121010107. The reversal of 12012121010100 is 101012121021.

It is an interprime number because it is at equal distance from previous prime (12012121010093) and next prime (12012121010107).

It is a super-2 number, since 2×120121210101002 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012121010107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87355762 + ... + 87493161.

Almost surely, 212012121010100 is an apocalyptic number.

12012121010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012121010100 is an abundant number, since it is smaller than the sum of its proper divisors (22894718177260).

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

12012121010100 is a wasteful number, since it uses less digits than its factorization.

12012121010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174849169 (or 174849162 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12012121010100 its reverse (101012121021), we get a palindrome (12113133131121).

The spelling of 12012121010100 in words is "twelve trillion, twelve billion, one hundred twenty-one million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 229 300 458 687 916 1145 1374 2290 2748 3435 4580 5725 6870 11450 13740 17175 22900 34350 68700 174848923 349697846 524546769 699395692 874244615 1049093538 1748489230 2098187076 2622733845 3496978460 4371223075 5245467690 8742446150 10490935380 13113669225 17484892300 26227338450 40040403367 52454676900 80080806734 120121210101 160161613468 200202016835 240242420202 400404033670 480484840404 600606050505 800808067340 1001010084175 1201212101010 2002020168350 2402424202020 3003030252525 4004040336700 6006060505050 12012121010100