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12406106232020 = 225192411061127679
BaseRepresentation
bin1011010010001000010110…
…0011100001010011010100
31121221000022212121012101202
42310202011203201103110
53111230201143411040
642215141520012032
72420211610021154
oct264420543412324
947830285535352
1012406106232020
113a534445a5746
121484477a61018
136bcb7710cc67
1430c65cb24764
15167aa0938015
hexb48858e14d4

12406106232020 has 96 divisors (see below), whose sum is σ = 27563987404800. Its totient is φ = 4677304780800.

The previous prime is 12406106232007. The next prime is 12406106232031. The reversal of 12406106232020 is 2023260160421.

It is a super-2 number, since 2×124061062320202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97102541 + ... + 97230219.

It is an arithmetic number, because the mean of its divisors is an integer number (287124868800).

Almost surely, 212406106232020 is an apocalyptic number.

12406106232020 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 12406106232020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13781993702400).

12406106232020 is an abundant number, since it is smaller than the sum of its proper divisors (15157881172780).

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

12406106232020 is a wasteful number, since it uses less digits than its factorization.

12406106232020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129009 (or 129007 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 12406106232020 its reverse (2023260160421), we get a palindrome (14429366392441).

The spelling of 12406106232020 in words is "twelve trillion, four hundred six billion, one hundred six million, two hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 241 380 482 964 1061 1205 2122 2410 4244 4579 4820 5305 9158 10610 18316 20159 21220 22895 40318 45790 80636 91580 100795 127679 201590 255358 255701 403180 510716 511402 638395 1022804 1276790 1278505 2425901 2553580 2557010 4851802 4858319 5114020 9703604 9716638 12129505 19433276 24259010 24291595 30770639 48518020 48583190 61541278 97166380 123082556 135467419 153853195 270934838 307706390 541869676 584642141 615412780 677337095 1169284282 1354674190 2338568564 2573880961 2709348380 2923210705 5147761922 5846421410 10295523844 11692842820 12869404805 25738809610 32647647979 51477619220 65295295958 130590591916 163238239895 326476479790 620305311601 652952959580 1240610623202 2481221246404 3101526558005 6203053116010 12406106232020