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12220120112101 = 11311092631250083
BaseRepresentation
bin1011000111010011011111…
…1010110001101111100101
31121021020021011220101100221
42301310313322301233211
53100203301222041401
641553502400004341
72400605653052326
oct261646772615745
947236234811327
1012220120112101
113991584253020
1214544116006b1
136a847724c625
14303657cd044d
15162d179397a1
hexb1d37eb1be5

12220120112101 has 32 divisors (see below), whose sum is σ = 13940136714240. Its totient is φ = 10611696081600.

The previous prime is 12220120112087. The next prime is 12220120112107. The reversal of 12220120112101 is 10121102102221.

It is a cyclic number.

It is not a de Polignac number, because 12220120112101 - 215 = 12220120079333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220120112107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9150406 + ... + 10400488.

It is an arithmetic number, because the mean of its divisors is an integer number (435629272320).

Almost surely, 212220120112101 is an apocalyptic number.

12220120112101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12220120112101 is a deficient number, since it is larger than the sum of its proper divisors (1720016602139).

12220120112101 is a wasteful number, since it uses less digits than its factorization.

12220120112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250497.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12220120112101 its reverse (10121102102221), we get a palindrome (22341222214322).

The spelling of 12220120112101 in words is "twelve trillion, two hundred twenty billion, one hundred twenty million, one hundred twelve thousand, one hundred one".

Divisors: 1 11 31 109 263 341 1199 2893 3379 8153 28667 37169 89683 315337 888677 1250083 9775447 13750913 38752573 136259047 328771829 426278303 1498849517 3616490119 4224030457 10191926699 35836129361 46464335027 112111193689 394197422971 1110920010191 12220120112101