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121322221002 = 232233770911171
BaseRepresentation
bin111000011111101011…
…1100010110111001010
3102121011011011101201200
41300333113202313022
53441431442033002
6131422404125030
711523322602063
oct1607727426712
9377134141650
10121322221002
11474a825a354
121b61a696776
13b596102668
145c2cbad56a
1532510d4b1c
hex1c3f5e2dca

121322221002 has 96 divisors (see below), whose sum is σ = 282129644160. Its totient is φ = 37580526720.

The previous prime is 121322220973. The next prime is 121322221019. The reversal of 121322221002 is 200122223121.

121322221002 is a `hidden beast` number, since 121 + 322 + 221 + 0 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 10854877 + ... + 10866047.

It is an arithmetic number, because the mean of its divisors is an integer number (2938850460).

Almost surely, 2121322221002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121322221002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141064822080).

121322221002 is an abundant number, since it is smaller than the sum of its proper divisors (160807423158).

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

121322221002 is a wasteful number, since it uses less digits than its factorization.

121322221002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11948 (or 11945 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 121322221002 its reverse (200122223121), we get a palindrome (321444444123).

The spelling of 121322221002 in words is "one hundred twenty-one billion, three hundred twenty-two million, two hundred twenty-one thousand, two".

Divisors: 1 2 3 6 9 18 23 37 46 69 74 111 138 207 222 333 414 666 709 851 1418 1702 2127 2553 4254 5106 6381 7659 11171 12762 15318 16307 22342 26233 32614 33513 48921 52466 67026 78699 97842 100539 146763 157398 201078 236097 256933 293526 413327 472194 513866 603359 770799 826654 1206718 1239981 1541598 1810077 2312397 2479962 3620154 3719943 4624794 5430231 7439886 7920239 9506521 10860462 15840478 19013042 23760717 28519563 47521434 57039126 71282151 85558689 142564302 171117378 182165497 293048843 364330994 546496491 586097686 879146529 1092992982 1639489473 1758293058 2637439587 3278978946 5274879174 6740123389 13480246778 20220370167 40440740334 60661110501 121322221002