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12021002112 = 27379114909
BaseRepresentation
bin10110011001000000…
…11110111110000000
31011000202122011211110
423030200132332000
5144104334031422
65304455443320
7603614555250
oct131440367600
934022564743
1012021002112
1151095a6899
1223b5986540
131197609102
14820727960
154a551d60c
hex2cc81ef80

12021002112 has 128 divisors (see below), whose sum is σ = 36539827200. Its totient is φ = 3430103040.

The previous prime is 12021002101. The next prime is 12021002131. The reversal of 12021002112 is 21120012021.

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

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 2446314 + ... + 2451222.

It is an arithmetic number, because the mean of its divisors is an integer number (285467400).

Almost surely, 212021002112 is an apocalyptic number.

12021002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12021002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18269913600).

12021002112 is an abundant number, since it is smaller than the sum of its proper divisors (24518825088).

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

12021002112 is an equidigital number, since it uses as much as digits as its factorization.

12021002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5844 (or 5832 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12021002112 its reverse (21120012021), we get a palindrome (33141014133).

Subtracting 12021002112 from its reverse (21120012021), we obtain a palindrome (9099009909).

The spelling of 12021002112 in words is "twelve billion, twenty-one million, two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 911 1344 1822 2688 2733 3644 4909 5466 6377 7288 9818 10932 12754 14576 14727 19131 19636 21864 25508 29152 29454 34363 38262 39272 43728 51016 58304 58908 68726 76524 78544 87456 102032 103089 116608 117816 137452 153048 157088 174912 204064 206178 235632 274904 306096 314176 349824 408128 412356 471264 549808 612192 628352 816256 824712 942528 1099616 1224384 1649424 1885056 2199232 2448768 3298848 4398464 4472099 6597696 8944198 13195392 13416297 17888396 26832594 31304693 35776792 53665188 62609386 71553584 93914079 107330376 125218772 143107168 187828158 214660752 250437544 286214336 375656316 429321504 500875088 572428672 751312632 858643008 1001750176 1502625264 1717286016 2003500352 3005250528 4007000704 6010501056 12021002112