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211211121012 = 22337475700723
BaseRepresentation
bin1100010010110100101…
…0011111000101110100
3202012011122222122022120
43010231022133011310
511430030021333022
6241010135155540
721155002623003
oct3045512370564
9665148878276
10211211121012
1181635198371
1234b26215bb0
1316bbcbc59a8
14a31902ac3a
155762817d5c
hex312d29f174

211211121012 has 24 divisors (see below), whose sum is σ = 506145570336. Its totient is φ = 68500903968.

The previous prime is 211211120993. The next prime is 211211121019. The reversal of 211211121012 is 210121112112.

It is a happy number.

211211121012 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 2×2112111210122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211211120982 and 211211121000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211211121019) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 237849918 + ... + 237850805.

It is an arithmetic number, because the mean of its divisors is an integer number (21089398764).

Almost surely, 2211211121012 is an apocalyptic number.

It is an amenable number.

211211121012 is an abundant number, since it is smaller than the sum of its proper divisors (294934449324).

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

211211121012 is a wasteful number, since it uses less digits than its factorization.

211211121012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475700767 (or 475700765 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 211211121012 its reverse (210121112112), we get a palindrome (421332233124).

The spelling of 211211121012 in words is "two hundred eleven billion, two hundred eleven million, one hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 444 475700723 951401446 1427102169 1902802892 2854204338 5708408676 17600926751 35201853502 52802780253 70403707004 105605560506 211211121012