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12012102110120 = 2357534311878053
BaseRepresentation
bin1010111011001100100100…
…0101000100101110101000
31120112100100001022222220012
42232303021011010232220
53033301241120010440
641314141124151052
72346563042160260
oct256631105045650
946470301288805
1012012102110120
113911338539302
121420038838488
13691975a564a8
142d7562dba7a0
1515c6e0610e65
hexaecc9144ba8

12012102110120 has 128 divisors (see below), whose sum is σ = 31544095472640. Its totient is φ = 4031351301120.

The previous prime is 12012102110119. The next prime is 12012102110123. The reversal of 12012102110120 is 2101120121021.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 12012102110095 and 12012102110104.

It is not an unprimeable number, because it can be changed into a prime (12012102110123) 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, 5457014 + ... + 7335066.

It is an arithmetic number, because the mean of its divisors is an integer number (246438245880).

Almost surely, 212012102110120 is an apocalyptic number.

12012102110120 is a gapful number since it is divisible by the number (10) 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 12012102110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15772047736320).

12012102110120 is an abundant number, since it is smaller than the sum of its proper divisors (19531993362520).

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

12012102110120 is a wasteful number, since it uses less digits than its factorization.

12012102110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878555 (or 1878551 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12012102110120 its reverse (2101120121021), we get a palindrome (14113222231141).

The spelling of 12012102110120 in words is "twelve trillion, twelve billion, one hundred two million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 106 140 212 265 280 371 424 431 530 742 862 1060 1484 1724 1855 2120 2155 2968 3017 3448 3710 4310 6034 7420 8620 12068 14840 15085 17240 22843 24136 30170 45686 60340 91372 114215 120680 159901 182744 228430 319802 456860 639604 799505 913720 1279208 1599010 1878053 3198020 3756106 6396040 7512212 9390265 13146371 15024424 18780530 26292742 37561060 52585484 65731855 75122120 99536809 105170968 131463710 199073618 262927420 398147236 497684045 525854840 696757663 796294472 809440843 995368090 1393515326 1618881686 1990736180 2787030652 3237763372 3483788315 3981472360 4047204215 5574061304 5666085901 6475526744 6967576630 8094408430 11332171802 13935153260 16188816860 22664343604 27870306520 28330429505 32377633720 42900364679 45328687208 56660859010 85800729358 113321718020 171601458716 214501823395 226643436040 300302552753 343202917432 429003646790 600605105506 858007293580 1201210211012 1501512763765 1716014587160 2402420422024 3003025527530 6006051055060 12012102110120