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12002211210112 = 2719311491068439
BaseRepresentation
bin1010111010100111101110…
…0010010010001110000000
31120111101210201212012211021
42232221323202102032000
53033121012032210422
641305423435555224
72346062661001144
oct256517342221600
946441721765737
1012002211210112
113908122370782
12141a1382bbb14
13690a5a847836
142d6ca5537224
1515c312103dc7
hexaea7b892380

12002211210112 has 128 divisors (see below), whose sum is σ = 26155411200000. Its totient is φ = 5464932157440.

The previous prime is 12002211210097. The next prime is 12002211210127. The reversal of 12002211210112 is 21101211220021.

It is an interprime number because it is at equal distance from previous prime (12002211210097) and next prime (12002211210127).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×120022112101122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 10699189 + ... + 11767627.

It is an arithmetic number, because the mean of its divisors is an integer number (204339150000).

Almost surely, 212002211210112 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 12002211210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13077705600000).

12002211210112 is an abundant number, since it is smaller than the sum of its proper divisors (14153199989888).

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

12002211210112 is a wasteful number, since it uses less digits than its factorization.

12002211210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068652 (or 1068640 counting only the distinct ones).

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

Adding to 12002211210112 its reverse (21101211220021), we get a palindrome (33103422430133).

Subtracting 12002211210112 from its reverse (21101211220021), we obtain a palindrome (9099000009909).

The spelling of 12002211210112 in words is "twelve trillion, two billion, two hundred eleven million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 31 32 38 62 64 76 124 128 149 152 248 298 304 496 589 596 608 992 1178 1192 1216 1984 2356 2384 2432 2831 3968 4619 4712 4768 5662 9238 9424 9536 11324 18476 18848 19072 22648 36952 37696 45296 73904 75392 87761 90592 147808 175522 181184 295616 351044 362368 591232 702088 1068439 1404176 2136878 2808352 4273756 5616704 8547512 11233408 17095024 20300341 33121609 34190048 40600682 66243218 68380096 81201364 132486436 136760192 159197411 162402728 264972872 318394822 324805456 529945744 629310571 636789644 649610912 1059891488 1258621142 1273579288 1299221824 2119782976 2517242284 2547158576 2598443648 3024750809 4239565952 4935119741 5034484568 5094317152 6049501618 9870239482 10068969136 10188634304 12099003236 19740478964 20137938272 20377268608 24198006472 39480957928 40275876544 48396012944 78961915856 80551753088 93767275079 96792025888 157923831712 187534550158 193584051776 315847663424 375069100316 387168103552 631695326848 750138200632 1500276401264 3000552802528 6001105605056 12002211210112