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12101101212020 = 2251786094134217
BaseRepresentation
bin1011000000011000000111…
…0101101101000101110100
31120211212001112211210221112
42300012001311231011310
53041231023402241040
641423100311534152
72356163366102462
oct260060165550564
946755045753845
1012101101212020
113946059182887
12143533638a358
1369a18a3b5872
142db9a6db5832
1515eb9db80365
hexb0181d6d174

12101101212020 has 48 divisors (see below), whose sum is σ = 26910286436880. Its totient is φ = 4555178409984.

The previous prime is 12101101211993. The next prime is 12101101212077. The reversal of 12101101212020 is 2021210110121.

It can be written as a sum of positive squares in 8 ways, for example, as 2158002132196 + 9943099079824 = 1469014^2 + 3153268^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12101101211986 and 12101101212004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 859952 + ... + 4994168.

It is an arithmetic number, because the mean of its divisors is an integer number (560630967435).

Almost surely, 212101101212020 is an apocalyptic number.

12101101212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101101212020 is an abundant number, since it is smaller than the sum of its proper divisors (14809185224860).

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

12101101212020 is a wasteful number, since it uses less digits than its factorization.

12101101212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4142852 (or 4142850 counting only the distinct ones).

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

Adding to 12101101212020 its reverse (2021210110121), we get a palindrome (14122311322141).

The spelling of 12101101212020 in words is "twelve trillion, one hundred one billion, one hundred one million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 8609 17218 34436 43045 86090 146353 172180 292706 585412 731765 1463530 2927060 4134217 8268434 16536868 20671085 41342170 70281689 82684340 140563378 281126756 351408445 702816890 1405633780 35591474153 71182948306 142365896612 177957370765 355914741530 605055060601 711829483060 1210110121202 2420220242404 3025275303005 6050550606010 12101101212020