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200112012120 = 23353773617401
BaseRepresentation
bin1011101001011110011…
…0101111101101011000
3201010112011001111020110
42322113212233231120
511234312133341440
6231532530524320
720312651015646
oct2722746575530
9633464044213
10200112012120
117795a0175a9
12329491366a0
1315b415aa337
149984d1c196
1553131ed080
hex2e979afb58

200112012120 has 128 divisors (see below), whose sum is σ = 625008392640. Its totient is φ = 51209625600.

The previous prime is 200112012043. The next prime is 200112012137. The reversal of 200112012120 is 21210211002.

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

It is a junction number, because it is equal to n+sod(n) for n = 200112012096 and 200112012105.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 15420 + ... + 632820.

Almost surely, 2200112012120 is an apocalyptic number.

200112012120 is a gapful number since it is divisible by the number (20) 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 200112012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312504196320).

200112012120 is an abundant number, since it is smaller than the sum of its proper divisors (424896380520).

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

200112012120 is a wasteful number, since it uses less digits than its factorization.

200112012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617525 (or 617521 counting only the distinct ones).

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

Adding to 200112012120 its reverse (21210211002), we get a palindrome (221322223122).

The spelling of 200112012120 in words is "two hundred billion, one hundred twelve million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 73 74 111 120 146 148 185 219 222 292 296 365 370 438 444 555 584 730 740 876 888 1095 1110 1460 1480 1752 2190 2220 2701 2920 4380 4440 5402 8103 8760 10804 13505 16206 21608 27010 32412 40515 54020 64824 81030 108040 162060 324120 617401 1234802 1852203 2469604 3087005 3704406 4939208 6174010 7408812 9261015 12348020 14817624 18522030 22843837 24696040 37044060 45070273 45687674 68531511 74088120 90140546 91375348 114219185 135210819 137063022 180281092 182750696 225351365 228438370 270421638 274126044 342657555 360562184 450702730 456876740 540843276 548252088 676054095 685315110 901405460 913753480 1081686552 1352108190 1370630220 1667600101 1802810920 2704216380 2741260440 3335200202 5002800303 5408432760 6670400404 8338000505 10005600606 13340800808 16676001010 20011201212 25014001515 33352002020 40022402424 50028003030 66704004040 100056006060 200112012120