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2112120010000 = 245472111343701
BaseRepresentation
bin11110101111000100001…
…010011011010100010000
321110220202021102111100001
4132233010022123110100
5234101110210310000
64254143341535344
7305411205602500
oct36570412332420
97426667374301
102112120010000
11744821756880
122a1414874554
13124231036c60
147432744ba00
1539e1b29146a
hex1ebc429b510

2112120010000 has 1200 divisors, whose sum is σ = 7161214027968. Its totient is φ = 592704000000.

The previous prime is 2112120009971. The next prime is 2112120010103. The reversal of 2112120010000 is 100212112.

It is a super-2 number, since 2×21121200100002 (a number of 25 digits) contains 22 as substring.

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 239 ways as a sum of consecutive naturals, for example, 3013009650 + ... + 3013010350.

Almost surely, 22112120010000 is an apocalyptic number.

2112120010000 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 2112120010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3580607013984).

2112120010000 is an abundant number, since it is smaller than the sum of its proper divisors (5049094017968).

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

2112120010000 is a wasteful number, since it uses less digits than its factorization.

2112120010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 782 counting only the distinct ones).

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

Adding to 2112120010000 its reverse (100212112), we get a palindrome (2112220222112).

The spelling of 2112120010000 in words is "two trillion, one hundred twelve billion, one hundred twenty million, ten thousand".