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12120120021100 = 22527131331881321
BaseRepresentation
bin1011000001011110111101…
…1100101101000001101100
31120220200011000002102021211
42300113233130231001230
53042034001211133400
641435523431004204
72360435605234450
oct260275734550154
946820130072254
1012120120021100
113953128865613
121438b63809664
1369bbcb70a650
142dc88cc48660
151604136d2dba
hexb05ef72d06c

12120120021100 has 72 divisors (see below), whose sum is σ = 32370043649888. Its totient is φ = 3835818201600.

The previous prime is 12120120020903. The next prime is 12120120021103. The reversal of 12120120021100 is 112002102121.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (12120120021103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 665931561 + ... + 665949760.

Almost surely, 212120120021100 is an apocalyptic number.

12120120021100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120120021100 is an abundant number, since it is smaller than the sum of its proper divisors (20249923628788).

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

12120120021100 is a wasteful number, since it uses less digits than its factorization.

12120120021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331881355 (or 1331881348 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12120120021100 its reverse (112002102121), we get a palindrome (12232122123221).

The spelling of 12120120021100 in words is "twelve trillion, one hundred twenty billion, one hundred twenty million, twenty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2275 4550 9100 1331881321 2663762642 5327525284 6659406605 9323169247 13318813210 17314457173 18646338494 26637626420 33297033025 34628914346 37292676988 46615846235 66594066050 69257828692 86572285865 93231692470 121201200211 133188132100 173144571730 186463384940 233079231175 242402400422 346289143460 432861429325 466158462350 484804800844 606006001055 865722858650 932316924700 1212012002110 1731445717300 2424024004220 3030030005275 6060060010550 12120120021100