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12002122011100 = 2252139232401547
BaseRepresentation
bin1010111010100111011000…
…1110000001000111011100
31120111101120112000102210011
42232221312032001013130
53033120321213323400
641305410532053004
72346060525552544
oct256516616010734
946441515012704
1012002122011100
113908086a87191
12141a112464164
13690a45216360
142d6c97758324
1515c3093848ba
hexaea763811dc

12002122011100 has 36 divisors (see below), whose sum is σ = 28048035902824. Its totient is φ = 4431552742080.

The previous prime is 12002122011071. The next prime is 12002122011137. The reversal of 12002122011100 is 111022120021.

12002122011100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120021220111002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4616199474 + ... + 4616202073.

Almost surely, 212002122011100 is an apocalyptic number.

12002122011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002122011100 is an abundant number, since it is smaller than the sum of its proper divisors (16045913891724).

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

12002122011100 is a wasteful number, since it uses less digits than its factorization.

12002122011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9232401574 (or 9232401567 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12002122011100 its reverse (111022120021), we get a palindrome (12113144131121).

The spelling of 12002122011100 in words is "twelve trillion, two billion, one hundred twenty-two million, eleven thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 9232401547 18464803094 36929606188 46162007735 92324015470 120021220111 184648030940 230810038675 240042440222 461620077350 480084880444 600106100555 923240154700 1200212201110 2400424402220 3000530502775 6001061005550 12002122011100