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12102122202020 = 2255330241377537
BaseRepresentation
bin1011000000011011111010…
…1100011110001110100100
31120211221200201000110220222
42300012332230132032210
53041240121240431040
641423345503143512
72356230604264634
oct260067654361644
946757621013828
1012102122202020
113946532532774
1214355802a4b98
1369a2c0a91966
142dba628286c4
1515ec0d60abb5
hexb01beb1e3a4

12102122202020 has 48 divisors (see below), whose sum is σ = 25894899516528. Its totient is φ = 4749342474240.

The previous prime is 12102122202017. The next prime is 12102122202031. The reversal of 12102122202020 is 2020222120121.

It is a happy number.

12102122202020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 62721195364 + 12039401006656 = 250442^2 + 3469784^2 .

It is a super-2 number, since 2×121021222020202 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12102122202020.

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, 31866692 + ... + 32244228.

It is an arithmetic number, because the mean of its divisors is an integer number (539477073261).

Almost surely, 212102122202020 is an apocalyptic number.

12102122202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102122202020 is an abundant number, since it is smaller than the sum of its proper divisors (13792777314508).

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

12102122202020 is a wasteful number, since it uses less digits than its factorization.

12102122202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407840 (or 407838 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12102122202020 its reverse (2020222120121), we get a palindrome (14122344322141).

The spelling of 12102122202020 in words is "twelve trillion, one hundred two billion, one hundred twenty-two million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 30241 60482 120964 151205 302410 377537 604820 755074 1510148 1602773 1887685 3205546 3775370 6411092 7550740 8013865 16027730 20009461 32055460 40018922 80037844 100047305 200094610 400189220 11417096417 22834192834 45668385668 57085482085 114170964170 228341928340 605106110101 1210212220202 2420424440404 3025530550505 6051061101010 12102122202020