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121010213132001 = 32299747914296983
BaseRepresentation
bin11011100000111011100010…
…110001001001011011100001
3120212110110111211000022200200
4123200323202301021123201
5111330112404030211001
61105211154030135413
734326461614135224
oct3340734261113341
9525413454008620
10121010213132001
1135615163646366
12116a470b651569
13526a2a25b728b
1421c4cd5a795bb
15decb4782a086
hex6e0ee2c496e1

121010213132001 has 96 divisors (see below), whose sum is σ = 183219708672000. Its totient is φ = 76862846398464.

The previous prime is 121010213131979. The next prime is 121010213132071. The reversal of 121010213132001 is 100231312010121.

121010213132001 is a `hidden beast` number, since 1 + 210 + 1 + 0 + 2 + 131 + 320 + 0 + 1 = 666.

It is not a de Polignac number, because 121010213132001 - 26 = 121010213131937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121010213132071) 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 95 ways as a sum of consecutive naturals, for example, 17329255156 + ... + 17329262138.

It is an arithmetic number, because the mean of its divisors is an integer number (1908538632000).

Almost surely, 2121010213132001 is an apocalyptic number.

It is an amenable number.

121010213132001 is a deficient number, since it is larger than the sum of its proper divisors (62209495539999).

121010213132001 is a wasteful number, since it uses less digits than its factorization.

121010213132001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9023 (or 9020 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 121010213132001 its reverse (100231312010121), we get a palindrome (221241525142122).

The spelling of 121010213132001 in words is "one hundred twenty-one trillion, ten billion, two hundred thirteen million, one hundred thirty-two thousand, one".

Divisors: 1 3 9 29 87 97 261 291 479 873 1429 1437 2813 4287 4311 6983 8439 12861 13891 20949 25317 41441 41673 46463 62847 124323 125019 138613 139389 202507 372969 415839 418167 607521 677351 684491 1247517 1347427 1822563 2032053 2053473 3344857 4019777 4042281 6096159 6160419 9978707 10034571 12059331 12126843 19643179 19850239 29936121 30103713 36177993 58929537 59550717 66395627 89808363 97000853 176788611 178652151 199186881 289382503 291002559 324451129 597560643 868147509 873007677 967934579 973353387 1925473183 2604442527 2903803737 2920060161 4779800653 5776419549 8711411211 9409082741 14339401959 17329258647 28070102791 28227248223 43018205877 84210308373 84681744669 138614218937 252630925119 415842656811 463640663341 1247527970433 1390921990023 4172765970069 13445579236889 40336737710667 121010213132001