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211200212121012 = 223319339413032441
BaseRepresentation
bin110000000001010111100001…
…100111101011010110110100
31000200210112122220201021201000
4300001113201213223112310
5210140301013300333022
62025104012113403300
762325466066454562
oct6001274147532664
91020715586637630
10211200212121012
1161327563845084
121b830023869530
1390b012c94149a
143a222054d6a32
151963c0761d6ac
hexc015e19eb5b4

211200212121012 has 96 divisors (see below), whose sum is σ = 576392019638400. Its totient is φ = 66692816812800.

The previous prime is 211200212120999. The next prime is 211200212121047. The reversal of 211200212121012 is 210121212002112.

211200212121012 is a `hidden beast` number, since 211 + 20 + 0 + 212 + 1 + 210 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 68130712 + ... + 71163152.

It is an arithmetic number, because the mean of its divisors is an integer number (6004083537900).

Almost surely, 2211200212121012 is an apocalyptic number.

It is an amenable number.

211200212121012 is an abundant number, since it is smaller than the sum of its proper divisors (365191807517388).

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

211200212121012 is a wasteful number, since it uses less digits than its factorization.

211200212121012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3066414 (or 3066406 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211200212121012 its reverse (210121212002112), we get a palindrome (421321424123124).

The spelling of 211200212121012 in words is "two hundred eleven trillion, two hundred billion, two hundred twelve million, one hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 2052 33941 67882 101823 135764 203646 305469 407292 610938 644879 916407 1221876 1289758 1832814 1934637 2579516 3032441 3665628 3869274 5803911 6064882 7738548 9097323 11607822 12129764 17411733 18194646 23215644 27291969 34823466 36389292 54583938 57616379 69646932 81875907 109167876 115232758 163751814 172849137 230465516 327503628 345698274 518547411 691396548 1037094822 1555642233 2074189644 3111284466 6222568932 102924079981 205848159962 308772239943 411696319924 617544479886 926316719829 1235088959772 1852633439658 1955557519639 2778950159487 3705266879316 3911115039278 5557900318974 5866672558917 7822230078556 11115800637948 11733345117834 17600017676751 23466690235668 35200035353502 52800053030253 70400070707004 105600106060506 211200212121012