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12212002002100 = 2252122120020021
BaseRepresentation
bin1011000110110101010000…
…0010101001010010110100
31121020110022102020200000011
42301231110002221102310
53100040140003031400
641550041040430004
72400200536212205
oct261552402512264
947213272220004
1012212002002100
1139890988448aa
121452926918304
136a77823c4944
143030c7a7d5ac
151629dedad8ba
hexb1b540a94b4

12212002002100 has 18 divisors (see below), whose sum is σ = 26500044344774. Its totient is φ = 4884800800800.

The previous prime is 12212002002073. The next prime is 12212002002119. The reversal of 12212002002100 is 120020021221.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 155037487504 + 12056964514596 = 393748^2 + 3472314^2 .

It is a congruent number.

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, 61060009911 + ... + 61060010110.

Almost surely, 212212002002100 is an apocalyptic number.

12212002002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212002002100 is an abundant number, since it is smaller than the sum of its proper divisors (14288042342674).

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

12212002002100 is a wasteful number, since it uses less digits than its factorization.

12212002002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122120020035 (or 122120020028 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12212002002100 its reverse (120020021221), we get a palindrome (12332022023321).

The spelling of 12212002002100 in words is "twelve trillion, two hundred twelve billion, two million, two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 122120020021 244240040042 488480080084 610600100105 1221200200210 2442400400420 3053000500525 6106001001050 12212002002100