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2112122101200 = 2435241537910253
BaseRepresentation
bin11110101111000100010…
…010011001110111010000
321110220202102100201220220
4132233010102121313100
5234101111224214300
64254143454433040
7305411232432336
oct36570422316720
97426672321826
102112122101200
11744822954a41
122a1415502780
131242315b9a57
1474327833b56
1539e1b555da0
hex1ebc4499dd0

2112122101200 has 480 divisors, whose sum is σ = 7151707261440. Its totient is φ = 532251033600.

The previous prime is 2112122101183. The next prime is 2112122101259. The reversal of 2112122101200 is 21012212112.

It is a super-2 number, since 2×21121221012002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2112122101200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 205995274 + ... + 206005526.

It is an arithmetic number, because the mean of its divisors is an integer number (14899390128).

Almost surely, 22112122101200 is an apocalyptic number.

2112122101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112122101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3575853630720).

2112122101200 is an abundant number, since it is smaller than the sum of its proper divisors (5039585160240).

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

2112122101200 is a wasteful number, since it uses less digits than its factorization.

2112122101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10447 (or 10436 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2112122101200 its reverse (21012212112), we get a palindrome (2133134313312).

The spelling of 2112122101200 in words is "two trillion, one hundred twelve billion, one hundred twenty-two million, one hundred one thousand, two hundred".