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12121022112 = 253523124137
BaseRepresentation
bin10110100100111100…
…00001111010100000
31011021201211201110220
423102132001322200
5144310440201422
65322431323040
7606240662613
oct132236017240
934251751426
1012121022112
115160001351
122423380480
1311b2258a44
1482db2217a
154ae1c8e5c
hex2d2781ea0

12121022112 has 48 divisors (see below), whose sum is σ = 31825084032. Its totient is φ = 4039400960.

The previous prime is 12121022101. The next prime is 12121022119. The reversal of 12121022112 is 21122012121.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 12121022091 and 12121022100.

It is not an unprimeable number, because it can be changed into a prime (12121022119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 490108 + ... + 514244.

It is an arithmetic number, because the mean of its divisors is an integer number (663022584).

Almost surely, 212121022112 is an apocalyptic number.

12121022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12121022112 is an abundant number, since it is smaller than the sum of its proper divisors (19704061920).

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

12121022112 is a wasteful number, since it uses less digits than its factorization.

12121022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29381 (or 29373 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12121022112 its reverse (21122012121), we get a palindrome (33243034233).

Subtracting 12121022112 from its reverse (21122012121), we obtain a palindrome (9000990009).

The spelling of 12121022112 in words is "twelve billion, one hundred twenty-one million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 5231 10462 15693 20924 24137 31386 41848 48274 62772 72411 83696 96548 125544 144822 167392 193096 251088 289644 386192 502176 579288 772384 1158576 2317152 126260647 252521294 378781941 505042588 757563882 1010085176 1515127764 2020170352 3030255528 4040340704 6060511056 12121022112