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121211012001222 = 233111337941416469
BaseRepresentation
bin11011100011110110100011…
…010100000010110111000110
3120220011122210211111202202000
4123203312203110002313012
5111341410123033014342
61105443323054530130
734350130605306063
oct3343664324026706
9526148724452660
10121211012001222
1135692335345860
121171760a806946
1352831c3281720
1421d0903cadc6a
15e02e9aea144c
hex6e3da3502dc6

121211012001222 has 128 divisors (see below), whose sum is σ = 317283293376000. Its totient is φ = 33815717792640.

The previous prime is 121211012001221. The next prime is 121211012001229. The reversal of 121211012001222 is 222100210112121.

121211012001222 is a `hidden beast` number, since 1 + 212 + 110 + 120 + 0 + 1 + 222 = 666.

121211012001222 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 121211012001195 and 121211012001204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121211012001221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17781597 + ... + 23634872.

It is an arithmetic number, because the mean of its divisors is an integer number (2478775729500).

Almost surely, 2121211012001222 is an apocalyptic number.

121211012001222 is an abundant number, since it is smaller than the sum of its proper divisors (196072281374778).

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

121211012001222 is a wasteful number, since it uses less digits than its factorization.

121211012001222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41416883 (or 41416877 counting only the distinct ones).

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

Adding to 121211012001222 its reverse (222100210112121), we get a palindrome (343311222113343).

The spelling of 121211012001222 in words is "one hundred twenty-one trillion, two hundred eleven billion, twelve million, one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 99 117 143 198 234 286 297 351 379 429 594 702 758 858 1137 1287 2274 2574 3411 3861 4169 4927 6822 7722 8338 9854 10233 12507 14781 20466 25014 29562 37521 44343 54197 75042 88686 108394 112563 133029 162591 225126 266058 325182 487773 975546 1463319 2926638 41416469 82832938 124249407 248498814 372748221 455581159 538414097 745496442 911162318 1076828194 1118244663 1366743477 1615242291 2236489326 2733486954 3230484582 4100230431 4845726873 5922555067 8200460862 9691453746 11845110134 12300691293 14537180619 15696841751 17767665201 24601382586 29074361238 31393683502 35535330402 47090525253 53302995603 94181050506 106605991206 141271575759 159908986809 172665259261 204058942763 282543151518 319817973618 345330518522 408117885526 423814727277 517995777783 612176828289 847629454554 1035991555566 1224353656578 1553987333349 1836530484867 2244648370393 3107974666698 3673060969734 4489296740786 4661962000047 5509591454601 6733945111179 9323924000094 11019182909202 13467890222358 20201835333537 40403670667074 60605506000611 121211012001222