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211020121122012 = 223313124161888759
BaseRepresentation
bin101111111110101111110011…
…010111000010010011011100
31000200011022211001201122022000
4233332233303113002103130
5210124323202001401022
62024445145542322300
762306462214311346
oct5776576327022334
91020138731648260
10211020121122012
11612681490aa014
121b801143729390
13909915c1b8397
143a175dd5b0296
15195e1b6e3c6ac
hexbfebf35c24dc

211020121122012 has 96 divisors (see below), whose sum is σ = 553552873843200. Its totient is φ = 69513452985600.

The previous prime is 211020121121959. The next prime is 211020121122017. The reversal of 211020121122012 is 210221121020112.

211020121122012 is a `hidden beast` number, since 21 + 1 + 0 + 201 + 211 + 220 + 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 not an unprimeable number, because it can be changed into a prime (211020121122017) 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, 27534712 + ... + 34354047.

It is an arithmetic number, because the mean of its divisors is an integer number (5766175769200).

Almost surely, 2211020121122012 is an apocalyptic number.

It is an amenable number.

211020121122012 is an abundant number, since it is smaller than the sum of its proper divisors (342532752721188).

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

211020121122012 is a wasteful number, since it uses less digits than its factorization.

211020121122012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61889144 (or 61889136 counting only the distinct ones).

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

Adding to 211020121122012 its reverse (210221121020112), we get a palindrome (421241242142124).

The spelling of 211020121122012 in words is "two hundred eleven trillion, twenty billion, one hundred twenty-one million, one hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 131 241 262 393 482 524 723 786 964 1179 1446 1572 2169 2358 2892 3537 4338 4716 6507 7074 8676 13014 14148 26028 31571 63142 94713 126284 189426 284139 378852 568278 852417 1136556 1704834 3409668 61888759 123777518 185666277 247555036 371332554 556998831 742665108 1113997662 1670996493 2227995324 3341992986 6683985972 8107427429 14915190919 16214854858 24322282287 29830381838 32429709716 44745572757 48644564574 59660763676 72966846861 89491145514 97289129148 134236718271 145933693722 178982291028 218900540583 268473436542 291867387444 402710154813 437801081166 536946873084 805420309626 875602162332 1610840619252 1953890010389 3907780020778 5861670031167 7815560041556 11723340062334 17585010093501 23446680124668 35170020187002 52755030280503 70340040374004 105510060561006 211020121122012