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12130020211100 = 225211591021183059
BaseRepresentation
bin1011000010000011110110…
…0010111011100110011100
31120221121200222001011211112
42300200331202323212130
53042214240133223400
641444242050241152
72361236131405241
oct260407542734634
946847628034745
1012130020211100
1139573491a8920
12143aa672861b8
1369cb1881c93c
142dd14ba295c8
151607e2927835
hexb083d8bb99c

12130020211100 has 144 divisors (see below), whose sum is σ = 29230522876800. Its totient is φ = 4331884512000.

The previous prime is 12130020211079. The next prime is 12130020211181. The reversal of 12130020211100 is 111202003121.

12130020211100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66171371 + ... + 66354429.

It is an arithmetic number, because the mean of its divisors is an integer number (202989742200).

Almost surely, 212130020211100 is an apocalyptic number.

12130020211100 is a gapful number since it is divisible by the number (10) 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 12130020211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14615261438400).

12130020211100 is an abundant number, since it is smaller than the sum of its proper divisors (17100502665700).

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

12130020211100 is a wasteful number, since it uses less digits than its factorization.

12130020211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184164 (or 184157 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 12130020211100 its reverse (111202003121), we get a palindrome (12241222214221).

It can be divided in two parts, 1213002021 and 1100, that added together give a palindrome (1213003121).

The spelling of 12130020211100 in words is "twelve trillion, one hundred thirty billion, twenty million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 59 100 110 118 220 236 275 295 550 590 649 1021 1100 1180 1298 1475 2042 2596 2950 3245 4084 5105 5900 6490 10210 11231 12980 16225 20420 22462 25525 32450 44924 51050 56155 60239 64900 102100 112310 120478 183059 224620 240956 280775 301195 366118 561550 602390 662629 732236 915295 1123100 1204780 1325258 1505975 1830590 2013649 2650516 3011950 3313145 3661180 4027298 4576475 6023900 6626290 8054596 9152950 10068245 10800481 13252580 16565725 18305900 20136490 21600962 33131450 40272980 43201924 50341225 54002405 66262900 100682450 108004810 118805291 186903239 201364900 216009620 237610582 270012025 373806478 475221164 540024050 594026455 747612956 934516195 1080048100 1188052910 1869032390 2055935629 2376105820 2970132275 3738064780 4111871258 4672580975 5940264550 8223742516 9345161950 10279678145 11027291101 11880529100 18690323900 20559356290 22054582202 41118712580 44109164404 51398390725 55136455505 102796781450 110272911010 121300202111 205593562900 220545822020 242600404222 275682277525 485200808444 551364555050 606501010555 1102729110100 1213002021110 2426004042220 3032505052775 6065010105550 12130020211100