Search a number
-
+
212012222221120 = 2654349943308509
BaseRepresentation
bin110000001101001011110001…
…001100011000101101000000
31000210200011121021222022210011
4300031023301030120231000
5210242102012342033440
62030525023104114304
762441243336440666
oct6015136114305500
91023604537868704
10212012222221120
116160a973329842
121b941480305994
13913b888b7a969
143a4d636948c36
151979dceec89ea
hexc0d2f1318b40

212012222221120 has 112 divisors (see below), whose sum is σ = 516606915496320. Its totient is φ = 82830755137536.

The previous prime is 212012222221043. The next prime is 212012222221153. The reversal of 212012222221120 is 21122222210212.

It is a super-2 number, since 2×2120122222211202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212012222221091 and 212012222221100.

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, 687061426 + ... + 687369934.

Almost surely, 2212012222221120 is an apocalyptic number.

212012222221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212012222221120 is an abundant number, since it is smaller than the sum of its proper divisors (304594693275200).

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

212012222221120 is a wasteful number, since it uses less digits than its factorization.

212012222221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358512 (or 358502 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 212012222221120 its reverse (21122222210212), we get a palindrome (233134444431332).

The spelling of 212012222221120 in words is "two hundred twelve trillion, twelve billion, two hundred twenty-two million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 160 172 215 320 344 430 688 860 1376 1720 2752 3440 6880 13760 49943 99886 199772 249715 308509 399544 499430 617018 799088 998860 1234036 1542545 1598176 1997720 2147549 2468072 3085090 3196352 3995440 4295098 4936144 6170180 7990880 8590196 9872288 10737745 12340360 13265887 15981760 17180392 19744576 21475490 24680720 26531774 34360784 42950980 49361440 53063548 66329435 68721568 85901960 98722880 106127096 132658870 137443136 171803920 212254192 265317740 343607840 424508384 530635480 687215680 849016768 1061270960 2122541920 4245083840 15407864987 30815729974 61631459948 77039324935 123262919896 154078649870 246525839792 308157299740 493051679584 616314599480 662538194441 986103359168 1232629198960 1325076388882 2465258397920 2650152777764 3312690972205 4930516795840 5300305555528 6625381944410 10600611111056 13250763888820 21201222222112 26501527777640 42402444444224 53003055555280 106006111110560 212012222221120