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12121111012120 = 23511101333181883
BaseRepresentation
bin1011000001100010101010…
…0001000010001100011000
31120220202201001210222101221
42300120222201002030120
53042043013404341440
641440210031221424
72360502300434215
oct260305241021430
946822631728357
1012121111012120
113953597195860
12143919b677874
1369c028b12076
142dc9446ccb0c
151604706d4d4a
hexb062a842318

12121111012120 has 128 divisors (see below), whose sum is σ = 30055777678080. Its totient is φ = 4362672960000.

The previous prime is 12121111012103. The next prime is 12121111012123. The reversal of 12121111012120 is 2121011112121.

It is a junction number, because it is equal to n+sod(n) for n = 12121111012094 and 12121111012103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121111012123) 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, 147988699 + ... + 148070581.

It is an arithmetic number, because the mean of its divisors is an integer number (234810763110).

Almost surely, 212121111012120 is an apocalyptic number.

12121111012120 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 12121111012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15027888839040).

12121111012120 is an abundant number, since it is smaller than the sum of its proper divisors (17934666665960).

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

12121111012120 is a wasteful number, since it uses less digits than its factorization.

12121111012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85337 (or 85333 counting only the distinct ones).

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

Adding to 12121111012120 its reverse (2121011112121), we get a palindrome (14242122124241).

The spelling of 12121111012120 in words is "twelve trillion, one hundred twenty-one billion, one hundred eleven million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 1010 1111 2020 2222 3331 4040 4444 5555 6662 8888 11110 13324 16655 22220 26648 33310 36641 44440 66620 73282 81883 133240 146564 163766 183205 293128 327532 336431 366410 409415 655064 672862 732820 818830 900713 1345724 1465640 1637660 1682155 1801426 2691448 3275320 3364310 3602852 3700741 4503565 6728620 7205704 7401482 8270183 9007130 13457240 14802964 16540366 18014260 18503705 29605928 33080732 36028520 37007410 41350915 66161464 74014820 82701830 90972013 148029640 165403660 181944026 272752273 330807320 363888052 454860065 545504546 727776104 909720130 1091009092 1363761365 1819440260 2182018184 2727522730 3000275003 3638880520 5455045460 6000550006 10910090920 12001100012 15001375015 24002200024 27547979573 30002750030 55095959146 60005500060 110191918292 120011000120 137739897865 220383836584 275479795730 303027775303 550959591460 606055550606 1101919182920 1212111101212 1515138876515 2424222202424 3030277753030 6060555506060 12121111012120