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12000210011200 = 26527500131257
BaseRepresentation
bin1010111010100000010001…
…0000010100010001000000
31120111012122021020210000001
42232220010100110101000
53033102412230324300
641304453111205344
72345662251044035
oct256500420242100
946435567223001
1012000210011200
113907295785384
12141987a076854
136907cc070878
142d6b5584938c
1515c2465a616a
hexaea04414440

12000210011200 has 42 divisors (see below), whose sum is σ = 29528016762746. Its totient is φ = 4800084003840.

The previous prime is 12000210011183. The next prime is 12000210011243. The reversal of 12000210011200 is 211001200021.

It can be written as a sum of positive squares in 3 ways, for example, as 56716375104 + 11943493636096 = 238152^2 + 3455936^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3750064029 + ... + 3750067228.

Almost surely, 212000210011200 is an apocalyptic number.

12000210011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000210011200 is an abundant number, since it is smaller than the sum of its proper divisors (17527806751546).

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

12000210011200 is an equidigital number, since it uses as much as digits as its factorization.

12000210011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7500131279 (or 7500131264 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12000210011200 its reverse (211001200021), we get a palindrome (12211211211221).

The spelling of 12000210011200 in words is "twelve trillion, two hundred ten million, eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 7500131257 15000262514 30000525028 37500656285 60001050056 75001312570 120002100112 150002625140 187503281425 240004200224 300005250280 375006562850 480008400448 600010500560 750013125700 1200021001120 1500026251400 2400042002240 3000052502800 6000105005600 12000210011200