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121320131200233 = 37477431279129347
BaseRepresentation
bin11011100101011100001011…
…010100110000010011101001
3120220120002110112112102022020
4123211130023110300103221
5111400202112041401413
61110005410542015053
734361042643222450
oct3345341324602351
9526502415472266
10121320131200233
1135724640287069
12117347a2577489
1352905931478c4
1421d5cd60d3b97
15e05c35ab0c23
hex6e570b5304e9

121320131200233 has 64 divisors (see below), whose sum is σ = 189205535784960. Its totient is φ = 67705950537792.

The previous prime is 121320131200183. The next prime is 121320131200241. The reversal of 121320131200233 is 332002131023121.

It is not a de Polignac number, because 121320131200233 - 210 = 121320131199209 is a prime.

It is a super-2 number, since 2×1213201312002332 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121320131200243) 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 63 ways as a sum of consecutive naturals, for example, 937878466 + ... + 938007812.

It is an arithmetic number, because the mean of its divisors is an integer number (2956336496640).

Almost surely, 2121320131200233 is an apocalyptic number.

It is an amenable number.

121320131200233 is a deficient number, since it is larger than the sum of its proper divisors (67885404584727).

121320131200233 is a wasteful number, since it uses less digits than its factorization.

121320131200233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131426.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 121320131200233 its reverse (332002131023121), we get a palindrome (453322262223354).

The spelling of 121320131200233 in words is "one hundred twenty-one trillion, three hundred twenty billion, one hundred thirty-one million, two hundred thousand, two hundred thirty-three".

Divisors: 1 3 7 21 47 141 329 743 987 1279 2229 3837 5201 8953 15603 26859 34921 60113 104763 129347 180339 244447 388041 420791 733341 905429 950297 1262373 2716287 2850891 6079309 6652079 18237927 19956237 42555163 44663959 96104821 127665489 133991877 165434813 288314463 312647713 496304439 672733747 937943139 1158043691 2018201241 3474131073 4516926587 7775436211 13550779761 23326308633 31618486109 54428053477 94855458327 122918066059 163284160431 368754198177 860426462413 2581279387239 5777149104773 17331447314319 40440043733411 121320131200233