Search a number
-
+
12221121020000 = 25541223499637
BaseRepresentation
bin1011000111010111001110…
…0100111100000001100000
31121021022211221021202212212
42301311303210330001200
53100212323440120000
641554145552541252
72400642525454214
oct261656344740140
947238757252785
1012221121020000
113991a48236a32
121454650851828
136a85a6716b19
14303710bd6944
15162d75749c35
hexb1d7393c060

12221121020000 has 120 divisors (see below), whose sum is σ = 30090434741136. Its totient is φ = 4884441536000.

The previous prime is 12221121019997. The next prime is 12221121020179. The reversal of 12221121020000 is 2012112221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24210182 + ... + 24709818.

Almost surely, 212221121020000 is an apocalyptic number.

12221121020000 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 12221121020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15045217370568).

12221121020000 is an abundant number, since it is smaller than the sum of its proper divisors (17869313721136).

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

12221121020000 is an equidigital number, since it uses as much as digits as its factorization.

12221121020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500890 (or 500867 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12221121020000 its reverse (2012112221), we get a palindrome (12223133132221).

The spelling of 12221121020000 in words is "twelve trillion, two hundred twenty-one billion, one hundred twenty-one million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1223 1250 2000 2446 2500 4000 4892 5000 6115 9784 10000 12230 19568 20000 24460 30575 39136 48920 61150 97840 122300 152875 195680 244600 305750 489200 499637 611500 764375 978400 999274 1223000 1528750 1998548 2446000 2498185 3057500 3997096 4892000 4996370 6115000 7994192 9992740 12230000 12490925 15988384 19985480 24460000 24981850 39970960 49963700 62454625 79941920 99927400 124909250 199854800 249818500 312273125 399709600 499637000 611056051 624546250 999274000 1222112102 1249092500 1998548000 2444224204 2498185000 3055280255 4888448408 4996370000 6110560510 9776896816 9992740000 12221121020 15276401275 19553793632 24442242040 30552802550 48884484080 61105605100 76382006375 97768968160 122211210200 152764012750 244422420400 305528025500 381910031875 488844840800 611056051000 763820063750 1222112102000 1527640127500 2444224204000 3055280255000 6110560510000 12221121020000