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12112122012112 = 2429371567450227
BaseRepresentation
bin1011000001000001001010…
…1110101110000111010000
31120212220111121102110112201
42300100102232232013100
53041421111213341422
641432122041532544
72360033450256133
oct260202256560720
946786447373481
1012112122012112
11394a7a4128031
1214374b11a4154
1369b225713855
142dc33093c21a
151600e647c727
hexb0412bae1d0

12112122012112 has 80 divisors (see below), whose sum is σ = 24948538191360. Its totient is φ = 5685554778624.

The previous prime is 12112122012097. The next prime is 12112122012139. The reversal of 12112122012112 is 21121022121121.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12112122012112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26677143 + ... + 27127369.

It is an arithmetic number, because the mean of its divisors is an integer number (311856727392).

Almost surely, 212112122012112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12112122012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12474269095680).

12112122012112 is an abundant number, since it is smaller than the sum of its proper divisors (12836416179248).

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

12112122012112 is a wasteful number, since it uses less digits than its factorization.

12112122012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451868 (or 451862 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 12112122012112 its reverse (21121022121121), we get a palindrome (33233144133233).

The spelling of 12112122012112 in words is "twelve trillion, one hundred twelve billion, one hundred twenty-two million, twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 37 58 74 116 148 232 296 464 592 1073 1567 2146 3134 4292 6268 8584 12536 17168 25072 45443 57979 90886 115958 181772 231916 363544 450227 463832 727088 900454 927664 1681391 1800908 3362782 3601816 6725564 7203632 13056583 13451128 16658399 26113166 26902256 33316798 52226332 66633596 104452664 133267192 208905328 266534384 483093571 705505709 966187142 1411011418 1932374284 2822022836 3864748568 5644045672 7729497136 11288091344 20459665561 26103711233 40919331122 52207422466 81838662244 104414844932 163677324488 208829689864 327354648976 417659379728 757007625757 1514015251514 3028030503028 6056061006056 12112122012112