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211121000000 = 2656613461
BaseRepresentation
bin1100010010011111001…
…0101100111001000000
3202011221101102000112022
43010213302230321000
511424333434000000
6240553155421012
721152526614351
oct3044762547100
9664841360468
10211121000000
1181599334099
1234abbbb4768
1316ba7330951
14a30b08bd28
155759965585
hex3127cace40

211121000000 has 196 divisors, whose sum is σ = 532410919428. Its totient is φ = 83040000000.

The previous prime is 211120999871. The next prime is 211121000021. The reversal of 211121000000 is 121112.

211121000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 14 ways, for example, as 83632012864 + 127488987136 = 289192^2 + 357056^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 60998270 + ... + 61001730.

Almost surely, 2211121000000 is an apocalyptic number.

211121000000 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 211121000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266205459714).

211121000000 is an abundant number, since it is smaller than the sum of its proper divisors (321289919428).

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

211121000000 is an frugal number, since it uses more digits than its factorization.

211121000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3564 (or 3529 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 211121000000 its reverse (121112), we get a palindrome (211121121112).

The spelling of 211121000000 in words is "two hundred eleven billion, one hundred twenty-one million", and thus it is an aban number.