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121221021212010 = 232583120431347481
BaseRepresentation
bin11011100011111111110111…
…111010001001110101101010
3120220012121122101121100200200
4123203333313322021311222
5111342041122412241020
61105452100211013030
734350633624222456
oct3343776772116552
9526177571540620
10121221021212010
1135696601280a95
121171954289a176
135284129b45465
1421d11b334d666
15e03384a7d590
hex6e3ff7e89d6a

121221021212010 has 96 divisors (see below), whose sum is σ = 318998662976448. Its totient is φ = 31933464986880.

The previous prime is 121221021211949. The next prime is 121221021212023. The reversal of 121221021212010 is 10212120122121.

121221021212010 is a `hidden beast` number, since 1 + 212 + 210 + 21 + 21 + 201 + 0 = 666.

121221021212010 is digitally balanced in base 3, 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89287470 + ... + 90634950.

It is an arithmetic number, because the mean of its divisors is an integer number (3322902739338).

Almost surely, 2121221021212010 is an apocalyptic number.

121221021212010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121221021212010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159499331488224).

121221021212010 is an abundant number, since it is smaller than the sum of its proper divisors (197777641764438).

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

121221021212010 is a wasteful number, since it uses less digits than its factorization.

121221021212010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359620 (or 1359617 counting only the distinct ones).

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

Adding to 121221021212010 its reverse (10212120122121), we get a palindrome (131433141334131).

The spelling of 121221021212010 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, twenty-one million, two hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 83 90 166 249 415 498 747 830 1245 1494 2490 3735 7470 12043 24086 36129 60215 72258 108387 120430 180645 216774 361290 541935 999569 1083870 1347481 1999138 2694962 2998707 4042443 4997845 5997414 6737405 8084886 8996121 9995690 12127329 13474810 14993535 17992242 20212215 24254658 29987070 40424430 44980605 60636645 89961210 111840923 121273290 223681846 335522769 559204615 671045538 1006568307 1118409230 1677613845 2013136614 3355227690 5032841535 10065683070 16227713683 32455427366 48683141049 81138568415 97366282098 146049423147 162277136830 243415705245 292098846294 486831410490 730247115735 1346900235689 1460494231470 2693800471378 4040700707067 6734501178445 8081401414134 12122102121201 13469002356890 20203503535335 24244204242402 40407007070670 60610510606005 121221021212010