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12220122112121 = 7111010315708491
BaseRepresentation
bin1011000111010011100000…
…0010011010000001111001
31121021020021022122222212202
42301310320002122001321
53100203302230041441
641553502510515545
72400606006052310
oct261647002320171
947236238588782
1012220122112121
113991585399730
121454412205bb5
136a847779ca81
14303658291277
15162d17bd219b
hexb1d3809a079

12220122112121 has 16 divisors (see below), whose sum is σ = 15236985904128. Its totient is φ = 9521229958800.

The previous prime is 12220122112073. The next prime is 12220122112171. The reversal of 12220122112121 is 12121122102221.

It is not a de Polignac number, because 12220122112121 - 222 = 12220117917817 is a prime.

It is a super-2 number, since 2×122201221121212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12220122112093 and 12220122112102.

It is not an unprimeable number, because it can be changed into a prime (12220122112171) 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 15 ways as a sum of consecutive naturals, for example, 7076315 + ... + 8632176.

It is an arithmetic number, because the mean of its divisors is an integer number (952311619008).

Almost surely, 212220122112121 is an apocalyptic number.

12220122112121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12220122112121 is a deficient number, since it is larger than the sum of its proper divisors (3016863792007).

12220122112121 is a wasteful number, since it uses less digits than its factorization.

12220122112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15718612.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 12220122112121 its reverse (12121122102221), we get a palindrome (24341244214342).

The spelling of 12220122112121 in words is "twelve trillion, two hundred twenty billion, one hundred twenty-two million, one hundred twelve thousand, one hundred twenty-one".

Divisors: 1 7 11 77 10103 70721 111133 777931 15708491 109959437 172793401 1209553807 158702884573 1110920192011 1745731730303 12220122112121