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121102212112020 = 22345531410461357
BaseRepresentation
bin11011100010010001001110…
…010101011001111010010100
3120212210020222101022201220000
4123202101032111121322110
5111333114312300041040
61105321331015411300
734336226465434656
oct3342211625317224
9525706871281800
10121102212112020
1135650183677757
12116ba505983b30
135275b745b7569
1421c95422486d6
15e0022e417130
hex6e244e559e94

121102212112020 has 120 divisors (see below), whose sum is σ = 387070089553224. Its totient is φ = 31684603901184.

The previous prime is 121102212112003. The next prime is 121102212112027. The reversal of 121102212112020 is 20211212201121.

121102212112020 is a `hidden beast` number, since 1 + 21 + 10 + 221 + 211 + 202 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 49874047368336 + 71228164743684 = 7062156^2 + 8439678^2 .

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 = 121102212111984 and 121102212112002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121102212112027) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 705144819 + ... + 705316538.

Almost surely, 2121102212112020 is an apocalyptic number.

121102212112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121102212112020 is an abundant number, since it is smaller than the sum of its proper divisors (265967877441204).

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

121102212112020 is a wasteful number, since it uses less digits than its factorization.

121102212112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410461431 (or 1410461420 counting only the distinct ones).

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

Adding to 121102212112020 its reverse (20211212201121), we get a palindrome (141313424313141).

It can be divided in two parts, 12110221 and 2112020, that added together give a palindrome (14222241).

The spelling of 121102212112020 in words is "one hundred twenty-one trillion, one hundred two billion, two hundred twelve million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 53 54 60 81 90 106 108 135 159 162 180 212 265 270 318 324 405 477 530 540 636 795 810 954 1060 1431 1590 1620 1908 2385 2862 3180 4293 4770 5724 7155 8586 9540 14310 17172 21465 28620 42930 85860 1410461357 2820922714 4231384071 5641845428 7052306785 8462768142 12694152213 14104613570 16925536284 21156920355 25388304426 28209227140 38082456639 42313840710 50776608852 63470761065 74754451921 76164913278 84627681420 114247369917 126941522130 149508903842 152329826556 190412283195 224263355763 228494739834 253883044260 299017807684 373772259605 380824566390 448526711526 456989479668 571236849585 672790067289 747544519210 761649132780 897053423052 1121316778815 1142473699170 1345580134578 1495089038420 2018370201867 2242633557630 2284947398340 2691160269156 3363950336445 4036740403734 4485267115260 6055110605601 6727900672890 8073480807468 10091851009335 12110221211202 13455801345780 20183702018670 24220442422404 30275553028005 40367404037340 60551106056010 121102212112020