Search a number
-
+
212122122112120 = 235111613298881421
BaseRepresentation
bin110000001110110010000111…
…101111001100110001111000
31000211001200021102000020102111
4300032302013233030301320
5210300402101230041440
62031051320240142104
762452213634213323
oct6016620757146170
91024050242006374
10212122122112120
1161652539a13540
121b95a831607934
1391490516c656c
143a54aa070d7ba
15197cbb33e94ea
hexc0ec87bccc78

212122122112120 has 64 divisors (see below), whose sum is σ = 520986184316640. Its totient is φ = 77087495846400.

The previous prime is 212122122112091. The next prime is 212122122112139. The reversal of 212122122112120 is 21211221221212.

212122122112120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 212122122112091 and 212122122112100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148730991 + ... + 150150430.

Almost surely, 2212122122112120 is an apocalyptic number.

212122122112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212122122112120 is an abundant number, since it is smaller than the sum of its proper divisors (308864062204520).

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

212122122112120 is a wasteful number, since it uses less digits than its factorization.

212122122112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298883056 (or 298883052 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 212122122112120 its reverse (21211221221212), we get a palindrome (233333343333332).

The spelling of 212122122112120 in words is "two hundred twelve trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 1613 3226 6452 8065 12904 16130 17743 32260 35486 64520 70972 88715 141944 177430 354860 709720 298881421 597762842 1195525684 1494407105 2391051368 2988814210 3287695631 5977628420 6575391262 11955256840 13150782524 16438478155 26301565048 32876956310 65753912620 131507825240 482095732073 964191464146 1928382928292 2410478660365 3856765856584 4820957320730 5303053052803 9641914641460 10606106105606 19283829282920 21212212211212 26515265264015 42424424422424 53030530528030 106061061056060 212122122112120