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12121001000010 = 2325759932119673
BaseRepresentation
bin1011000001100010001111…
…1101010111110001001010
31120220202102101210210011100
42300120203331113301022
53042042302224000020
641440151101242230
72360466463362210
oct260304375276112
946822371723140
1012121001000010
113953540086061
12143916a863376
1369c00c0a4346
142dc933c52cb0
15160465c03a90
hexb0623f57c4a

12121001000010 has 96 divisors (see below), whose sum is σ = 36076817836800. Its totient is φ = 2765889195264.

The previous prime is 12121000999993. The next prime is 12121001000027. The reversal of 12121001000010 is 1000010012121.

It is a happy number.

12121001000010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12121000999993) and next prime (12121001000027).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12121000999956 and 12121001000001.

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, 15682467 + ... + 16437206.

It is an arithmetic number, because the mean of its divisors is an integer number (375800185800).

Almost surely, 212121001000010 is an apocalyptic number.

12121001000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12121001000010 is an abundant number, since it is smaller than the sum of its proper divisors (23955816836790).

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

12121001000010 is a wasteful number, since it uses less digits than its factorization.

12121001000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32120292 (or 32120289 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12121001000010 its reverse (1000010012121), we get a palindrome (13121011012131).

The spelling of 12121001000010 in words is "twelve trillion, one hundred twenty-one billion, one million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 599 630 1198 1797 2995 3594 4193 5391 5990 8386 8985 10782 12579 17970 20965 25158 26955 37737 41930 53910 62895 75474 125790 188685 377370 32119673 64239346 96359019 160598365 192718038 224837711 289077057 321196730 449675422 481795095 578154114 674513133 963590190 1124188555 1349026266 1445385285 2023539399 2248377110 2890770570 3372565665 4047078798 6745131330 10117696995 19239684127 20235393990 38479368254 57719052381 96198420635 115438104762 134677788889 173157157143 192396841270 269355577778 288595261905 346314314286 404033366667 577190523810 673388944445 808066733334 865785785715 1212100100001 1346777888890 1731571571430 2020166833335 2424200200002 4040333666670 6060500500005 12121001000010