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121002112122021 = 3313678233624961
BaseRepresentation
bin11011100000110011111111…
…111010001111110010100101
3120212102200121020112101011000
4123200303333322033302211
5111324444311200401041
61105203334121303513
734326054065525304
oct3340637772176245
9525380536471130
10121002112122021
1135611786857699
12116a302a634b99
1352695b1168a50
1421c4767bda43b
15dec82152abb6
hex6e0cffe8fca5

121002112122021 has 64 divisors (see below), whose sum is σ = 195957285072640. Its totient is φ = 73342425784320.

The previous prime is 121002112122011. The next prime is 121002112122041. The reversal of 121002112122021 is 120221211200121.

121002112122021 is a `hidden beast` number, since 1 + 210 + 0 + 211 + 2 + 1 + 220 + 21 = 666.

It is a de Polignac number, because none of the positive numbers 2k-121002112122021 is a prime.

It is a super-2 number, since 2×1210021121220212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121002112121985 and 121002112122003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121002112122011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 193302981 + ... + 193927941.

It is an arithmetic number, because the mean of its divisors is an integer number (3061832579260).

Almost surely, 2121002112122021 is an apocalyptic number.

It is an amenable number.

121002112122021 is a deficient number, since it is larger than the sum of its proper divisors (74955172950619).

121002112122021 is a wasteful number, since it uses less digits than its factorization.

121002112122021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633283 (or 633277 counting only the distinct ones).

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

Adding to 121002112122021 its reverse (120221211200121), we get a palindrome (241223323322142).

The spelling of 121002112122021 in words is "one hundred twenty-one trillion, two billion, one hundred twelve million, one hundred twenty-two thousand, twenty-one".

Divisors: 1 3 9 13 27 39 67 117 201 351 603 871 1809 2613 7839 8233 23517 24699 74097 107029 222291 321087 551611 624961 963261 1654833 1874883 2889783 4964499 5624649 7170943 8124493 14893497 16873947 21512829 24373479 41872387 64538487 73120437 125617161 193615461 219361311 376851483 544341031 1130554449 1633023093 4899069279 5145303913 14697207837 15435911739 46307735217 66888950869 138923205651 200666852607 344735362171 602000557821 1034206086513 1806001673463 3102618259539 4481559708223 9307854778617 13444679124669 40334037374007 121002112122021