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121102211022012 = 2232114371100168249
BaseRepresentation
bin11011100010010001001110…
…010001001111110010111100
3120212210020222022021100200100
4123202101032101033302330
5111333114312010201022
61105321330540201100
734336226453245053
oct3342211621176274
9525706868240610
10121102211022012
1135650182aa2820
12116ba505539190
135275b742c539c
1421c954204339a
15e0022e29e1ac
hex6e244e44fcbc

121102211022012 has 144 divisors (see below), whose sum is σ = 346527653472000. Its totient is φ = 35339357894400.

The previous prime is 121102211021993. The next prime is 121102211022053. The reversal of 121102211022012 is 210220112201121.

121102211022012 is a `hidden beast` number, since 1 + 211 + 0 + 221 + 1 + 0 + 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48875137 + ... + 51293112.

It is an arithmetic number, because the mean of its divisors is an integer number (2406442038000).

Almost surely, 2121102211022012 is an apocalyptic number.

121102211022012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121102211022012 is an abundant number, since it is smaller than the sum of its proper divisors (225425442449988).

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

121102211022012 is a wasteful number, since it uses less digits than its factorization.

121102211022012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100168384 (or 100168379 counting only the distinct ones).

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

Adding to 121102211022012 its reverse (210220112201121), we get a palindrome (331322323223133).

The spelling of 121102211022012 in words is "one hundred twenty-one trillion, one hundred two billion, two hundred eleven million, twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 43 44 66 71 86 99 129 132 142 172 198 213 258 284 387 396 426 473 516 639 774 781 852 946 1278 1419 1548 1562 1892 2343 2556 2838 3053 3124 4257 4686 5676 6106 7029 8514 9159 9372 12212 14058 17028 18318 27477 28116 33583 36636 54954 67166 100749 109908 134332 201498 302247 402996 604494 1208988 100168249 200336498 300504747 400672996 601009494 901514241 1101850739 1202018988 1803028482 2203701478 3305552217 3606056964 4307234707 4407402956 6611104434 7111945679 8614469414 9916656651 12921704121 13222208868 14223891358 17228938828 19833313302 21335837037 25843408242 28447782716 38765112363 39666626604 42671674074 47379581777 51686816484 64007511111 77530224726 78231402469 85343348148 94759163554 128015022222 142138745331 155060449452 156462804938 189518327108 234694207407 256030044444 284277490662 305813664197 312925609876 426416235993 469388414814 568554981324 611627328394 704082622221 852832471986 917440992591 938776829628 1223254656788 1408165244442 1705664943972 1834881985182 2752322977773 2816330488884 3363950306167 3669763970364 5504645955546 6727900612334 10091850918501 11009291911092 13455801224668 20183701837002 30275552755503 40367403674004 60551105511006 121102211022012