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12120220002020 = 22513191324368129
BaseRepresentation
bin1011000001011111010101…
…1010000110011011100100
31120220200101222012222022212
42300113311122012123210
53042034202310031040
641435541401542552
72360441231120144
oct260276532063344
946820358188285
1012120220002020
11395317a243779
121438b911a4a58
1369bc16345560
142dc89c232924
1516041c381d65
hexb05f56866e4

12120220002020 has 48 divisors (see below), whose sum is σ = 27424673282160. Its totient is φ = 4472818630656.

The previous prime is 12120220002001. The next prime is 12120220002029. The reversal of 12120220002020 is 2020002202121.

12120220002020 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 75058465024 + 12045161536996 = 273968^2 + 3470614^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12120220001986 and 12120220002004.

It is not an unprimeable number, because it can be changed into a prime (12120220002029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11686685 + ... + 12681444.

It is an arithmetic number, because the mean of its divisors is an integer number (571347360045).

Almost surely, 212120220002020 is an apocalyptic number.

12120220002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120220002020 is an abundant number, since it is smaller than the sum of its proper divisors (15304453280140).

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

12120220002020 is a wasteful number, since it uses less digits than its factorization.

12120220002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24370064 (or 24370062 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12120220002020 its reverse (2020002202121), we get a palindrome (14140222204141).

The spelling of 12120220002020 in words is "twelve trillion, one hundred twenty billion, two hundred twenty million, two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1913 3826 7652 9565 19130 24869 38260 49738 99476 124345 248690 497380 24368129 48736258 97472516 121840645 243681290 316785677 487362580 633571354 1267142708 1583928385 3167856770 6335713540 46616230777 93232461554 186464923108 233081153885 466162307770 606011000101 932324615540 1212022000202 2424044000404 3030055000505 6060110001010 12120220002020