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21122100111012 = 2231998845100549
BaseRepresentation
bin1001100110101110111110…
…10001100010011010100100
32202210020211110210020100120
410303113133101202122210
510232031030112023022
6112531205301441540
74310010221421645
oct463273721423244
982706743706316
1021122100111012
11680391795158a
1224517307102b0
13ba2a61893174
1453045a8c56cc
1526967ab3cd5c
hex1335df4626a4

21122100111012 has 24 divisors (see below), whose sum is σ = 49532563080000. Its totient is φ = 7005319634016.

The previous prime is 21122100111011. The next prime is 21122100111103. The reversal of 21122100111012 is 21011100122112.

It is a happy number.

It is a super-2 number, since 2×211221001110122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21122100110982 and 21122100111000.

It is not an unprimeable number, because it can be changed into a prime (21122100111011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4422547887 + ... + 4422552662.

It is an arithmetic number, because the mean of its divisors is an integer number (2063856795000).

Almost surely, 221122100111012 is an apocalyptic number.

It is an amenable number.

21122100111012 is an abundant number, since it is smaller than the sum of its proper divisors (28410462968988).

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

21122100111012 is a wasteful number, since it uses less digits than its factorization.

21122100111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8845100755 (or 8845100753 counting only the distinct ones).

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

Adding to 21122100111012 its reverse (21011100122112), we get a palindrome (42133200233124).

The spelling of 21122100111012 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred million, one hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 12 199 398 597 796 1194 2388 8845100549 17690201098 26535301647 35380402196 53070603294 106141206588 1760175009251 3520350018502 5280525027753 7040700037004 10561050055506 21122100111012