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121310112020 = 22531417616271
BaseRepresentation
bin111000011111010100…
…1010110100100010100
3102121010022101012022212
41300332221112210110
53441420342041040
6131421252412552
711523114636656
oct1607651264424
9377108335285
10121310112020
11474a1439729
121b616617158
13b593752b96
145c2b33a6d6
15324eee1d65
hex1c3ea56914

121310112020 has 96 divisors (see below), whose sum is σ = 269779894272. Its totient is φ = 45745920000.

The previous prime is 121310112013. The next prime is 121310112097. The reversal of 121310112020 is 20211013121.

It is a super-2 number, since 2×1213101120202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121310111986 and 121310112004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19341485 + ... + 19347755.

It is an arithmetic number, because the mean of its divisors is an integer number (2810207232).

Almost surely, 2121310112020 is an apocalyptic number.

121310112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121310112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134889947136).

121310112020 is an abundant number, since it is smaller than the sum of its proper divisors (148469782252).

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

121310112020 is a wasteful number, since it uses less digits than its factorization.

121310112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7113 (or 7111 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 121310112020 its reverse (20211013121), we get a palindrome (141521125141).

The spelling of 121310112020 in words is "one hundred twenty-one billion, three hundred ten million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 31 41 62 82 124 155 164 205 310 410 620 761 820 1271 1522 2542 3044 3805 5084 6271 6355 7610 12542 12710 15220 23591 25084 25420 31201 31355 47182 62402 62710 94364 117955 124804 125420 156005 194401 235910 257111 312010 388802 471820 514222 624020 777604 967231 972005 1028444 1285555 1934462 1944010 2571110 3868924 3888020 4772231 4836155 5142220 7970441 9544462 9672310 15940882 19088924 19344620 23861155 31881764 39852205 47722310 79704410 95444620 147939161 159408820 195661471 295878322 391322942 591756644 739695805 782645884 978307355 1479391610 1956614710 2958783220 3913229420 6065505601 12131011202 24262022404 30327528005 60655056010 121310112020