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12121311001030 = 2571159266812921
BaseRepresentation
bin1011000001100011011001…
…1011111011100111000110
31120220210020000010110121121
42300120312123323213012
53042043421104013110
641440241533504154
72360510246344240
oct260306633734706
946823200113547
1012121311001030
11395368a070450
12143923664205a
1369c05b3942ba
142dc9630ab090
1516048303acda
hexb06366fb9c6

12121311001030 has 64 divisors (see below), whose sum is σ = 27663163752960. Its totient is φ = 3714035846400.

The previous prime is 12121311001001. The next prime is 12121311001031. The reversal of 12121311001030 is 3010011312121.

It is a happy number.

It is a super-2 number, since 2×121213110010302 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12121311000995 and 12121311001013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121311001031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133361031 + ... + 133451890.

It is an arithmetic number, because the mean of its divisors is an integer number (432236933640).

Almost surely, 212121311001030 is an apocalyptic number.

12121311001030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12121311001030 is an abundant number, since it is smaller than the sum of its proper divisors (15541852751930).

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

12121311001030 is a wasteful number, since it uses less digits than its factorization.

12121311001030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266813005.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 12121311001030 its reverse (3010011312121), we get a palindrome (15131322313151).

The spelling of 12121311001030 in words is "twelve trillion, one hundred twenty-one billion, three hundred eleven million, one thousand, thirty".

Divisors: 1 2 5 7 10 11 14 22 35 55 59 70 77 110 118 154 295 385 413 590 649 770 826 1298 2065 3245 4130 4543 6490 9086 22715 45430 266812921 533625842 1334064605 1867690447 2668129210 2934942131 3735380894 5869884262 9338452235 14674710655 15741962339 18676904470 20544594917 29349421310 31483924678 41089189834 78709811695 102722974585 110193736373 157419623390 173161585729 205445949170 220387472746 346323171458 550968681865 865807928645 1101937363730 1212131100103 1731615857290 2424262200206 6060655500515 12121311001030