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12000202100012 = 2271303328916843
BaseRepresentation
bin1010111010100000001111…
…0010001000110100101100
31120111012121201100211220002
42232220003302020310230
53033102403214200022
641304452225443432
72345662123564250
oct256500362106454
946435551324802
1012000202100012
113907291271605
1214198774a0578
136907ca5309a9
142d6b5478a260
1515c245a42092
hexaea03c88d2c

12000202100012 has 24 divisors (see below), whose sum is σ = 24018823616256. Its totient is φ = 5138996739408.

The previous prime is 12000202099987. The next prime is 12000202100041. The reversal of 12000202100012 is 21000120200021.

It is a happy number.

It is a super-2 number, since 2×120002021000122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12000202099966 and 12000202100002.

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 7 ways as a sum of consecutive naturals, for example, 164421938 + ... + 164494905.

It is an arithmetic number, because the mean of its divisors is an integer number (1000784317344).

Almost surely, 212000202100012 is an apocalyptic number.

It is an amenable number.

12000202100012 is an abundant number, since it is smaller than the sum of its proper divisors (12018621516244).

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

12000202100012 is a wasteful number, since it uses less digits than its factorization.

12000202100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328918157 (or 328918155 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12000202100012 its reverse (21000120200021), we get a palindrome (33000322300033).

The spelling of 12000202100012 in words is "twelve trillion, two hundred two million, one hundred thousand, twelve".

Divisors: 1 2 4 7 14 28 1303 2606 5212 9121 18242 36484 328916843 657833686 1315667372 2302417901 4604835802 9209671604 428578646429 857157292858 1714314585716 3000050525003 6000101050006 12000202100012