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121220300030022 = 23264385916137559
BaseRepresentation
bin11011100011111111001100…
…111011000100000001000110
3120220012112210010120111222200
4123203333030323010001012
5111342033133301430042
61105451500445335330
734350610016250204
oct3343771473040106
9526175703514880
10121220300030022
1135696271184316
1211719381267546
1352840435ca95b
1421d1145660074
15e033415c4c4c
hex6e3fccec4046

121220300030022 has 96 divisors (see below), whose sum is σ = 263556815558400. Its totient is φ = 40266649215936.

The previous prime is 121220300030017. The next prime is 121220300030041. The reversal of 121220300030022 is 220030003022121.

121220300030022 is a `hidden beast` number, since 1 + 21 + 2 + 20 + 300 + 0 + 300 + 22 = 666.

It is a super-2 number, since 2×1212203000300222 (a number of 29 digits) contains 22 as substring.

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 = 121220300029977 and 121220300030004.

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, 16036548679 + ... + 16036556237.

It is an arithmetic number, because the mean of its divisors is an integer number (2745383495400).

Almost surely, 2121220300030022 is an apocalyptic number.

121220300030022 is an abundant number, since it is smaller than the sum of its proper divisors (142336515528378).

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

121220300030022 is a wasteful number, since it uses less digits than its factorization.

121220300030022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10682 (or 10679 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 121220300030022 its reverse (220030003022121), we get a palindrome (341250303052143).

The spelling of 121220300030022 in words is "one hundred twenty-one trillion, two hundred twenty billion, three hundred million, thirty thousand, twenty-two".

Divisors: 1 2 3 6 9 18 643 859 1286 1613 1718 1929 2577 3226 3858 4839 5154 5787 7559 7731 9678 11574 14517 15118 15462 22677 29034 45354 68031 136062 552337 1037159 1104674 1385567 1657011 2074318 2771134 3111477 3314022 4156701 4860437 4971033 6222954 6493181 8313402 9334431 9720874 9942066 12192667 12470103 12986362 14581311 18668862 19479543 24385334 24940206 29162622 36578001 38959086 43743933 58438629 73156002 87487866 109734003 116877258 219468006 890919581 1781839162 2672758743 4175115383 5345517486 7839884881 8018276229 8350230766 10473500953 12525346149 15679769762 16036552458 20947001906 23519654643 25050692298 31420502859 37576038447 47039309286 62841005718 70558963929 75152076894 94261508577 141117927858 188523017154 6734461112779 13468922225558 20203383338337 40406766676674 60610150015011 121220300030022