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12121210112202 = 23219631121746153
BaseRepresentation
bin1011000001100011000001…
…1011000100100011001010
31120220202221222021210011100
42300120300123010203022
53042043214242042302
641440223531242230
72360504612660562
oct260306033044312
946822858253140
1012121210112202
113953638122154
1214392088a9376
1369c0434cc079
142dc953927da2
1516047925cd1c
hexb06306c48ca

12121210112202 has 96 divisors (see below), whose sum is σ = 27712028373120. Its totient is φ = 3818461409280.

The previous prime is 12121210112149. The next prime is 12121210112227. The reversal of 12121210112202 is 20221101212121.

12121210112202 is a `hidden beast` number, since 121 + 21 + 210 + 112 + 202 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 262607958 + ... + 262654110.

It is an arithmetic number, because the mean of its divisors is an integer number (288666962220).

Almost surely, 212121210112202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12121210112202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13856014186560).

12121210112202 is an abundant number, since it is smaller than the sum of its proper divisors (15590818260918).

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

12121210112202 is a wasteful number, since it uses less digits than its factorization.

12121210112202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48028 (or 48025 counting only the distinct ones).

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

Adding to 12121210112202 its reverse (20221101212121), we get a palindrome (32342311324323).

The spelling of 12121210112202 in words is "twelve trillion, one hundred twenty-one billion, two hundred ten million, one hundred twelve thousand, two hundred two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 631 1217 1262 1893 2434 3651 3786 5679 7302 10953 11358 11989 21906 23123 23978 35967 46153 46246 69369 71934 92306 107901 138459 138738 208107 215802 276918 415377 416214 767927 830754 876907 1535854 1753814 2303781 2630721 4607562 5261442 6911343 7892163 13822686 14590613 15784326 29122543 29181226 43771839 56168201 58245086 87367629 87543678 112336402 131315517 168504603 174735258 262102887 262631034 337009206 505513809 524205774 553328317 1011027618 1067195819 1106656634 1659984951 2134391638 3201587457 3319969902 4979954853 6403174914 9604762371 9959909706 19209524742 35442134831 70884269662 106326404493 212652808986 318979213479 637958426958 673400561789 1346801123578 2020201685367 4040403370734 6060605056101 12121210112202