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12000210120100 = 2252120002101201
BaseRepresentation
bin1010111010100000010001…
…0000101110110110100100
31120111012122021110022101101
42232220010100232312210
53033102412242320400
641304453113405444
72345662252006366
oct256500420566644
946435567408341
1012000210120100
11390729584a184
12141987a109884
136907cc0ab2c7
142d6b55876d36
1515c2465c856a
hexaea0442eda4

12000210120100 has 18 divisors (see below), whose sum is σ = 26040455960834. Its totient is φ = 4800084048000.

The previous prime is 12000210120097. The next prime is 12000210120113. The reversal of 12000210120100 is 102101200021.

It can be written as a sum of positive squares in 3 ways, for example, as 1149299778916 + 10850910341184 = 1072054^2 + 3294072^2 .

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 (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 60001050501 + ... + 60001050700.

Almost surely, 212000210120100 is an apocalyptic number.

12000210120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000210120100 is an abundant number, since it is smaller than the sum of its proper divisors (14040245840734).

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

12000210120100 is a wasteful number, since it uses less digits than its factorization.

12000210120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120002101215 (or 120002101208 counting only the distinct ones).

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

Adding to 12000210120100 its reverse (102101200021), we get a palindrome (12102311320121).

The spelling of 12000210120100 in words is "twelve trillion, two hundred ten million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 120002101201 240004202402 480008404804 600010506005 1200021012010 2400042024020 3000052530025 6000105060050 12000210120100