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12120102020100 = 22352101400003367
BaseRepresentation
bin1011000001011110111001…
…1000000010010000000100
31120220200002202012212120010
42300113232120002100010
53042033432104120400
641435521545110220
72360435266232424
oct260275630022004
946820082185503
1012120102020100
113953119690158
121438b59788370
1369bbc7a77079
142dc88a6c0484
15160411d29450
hexb05ee602404

12120102020100 has 72 divisors (see below), whose sum is σ = 35414698189248. Its totient is φ = 3200026928000.

The previous prime is 12120102020071. The next prime is 12120102020183. The reversal of 12120102020100 is 102020102121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199971384 + ... + 200031983.

It is an arithmetic number, because the mean of its divisors is an integer number (491870808184).

Almost surely, 212120102020100 is an apocalyptic number.

12120102020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120102020100 is an abundant number, since it is smaller than the sum of its proper divisors (23294596169148).

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

12120102020100 is a wasteful number, since it uses less digits than its factorization.

12120102020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400003485 (or 400003478 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12120102020100 its reverse (102020102121), we get a palindrome (12222122122221).

The spelling of 12120102020100 in words is "twelve trillion, one hundred twenty billion, one hundred two million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 202 300 303 404 505 606 1010 1212 1515 2020 2525 3030 5050 6060 7575 10100 15150 30300 400003367 800006734 1200010101 1600013468 2000016835 2400020202 4000033670 4800040404 6000050505 8000067340 10000084175 12000101010 20000168350 24000202020 30000252525 40000336700 40400340067 60000505050 80800680134 120001010100 121201020201 161601360268 202001700335 242402040402 404003400670 484804080804 606005101005 808006801340 1010008501675 1212010202010 2020017003350 2424020404020 3030025505025 4040034006700 6060051010050 12120102020100