Search a number
-
+
122201100212212 = 22782927291929119
BaseRepresentation
bin11011110010010000101001…
…001010110101011111110100
3121000200022101210011010211101
4123302100221022311133310
5112004120323123242322
61111522224353215444
734511511116245060
oct3362205112653764
9530608353133741
10122201100212212
1135a3421732598a
1211857485261584
13532568bc06648
1422267c9b96aa0
15e1dae7481327
hex6f24292b57f4

122201100212212 has 48 divisors (see below), whose sum is σ = 244786808448000. Its totient is φ = 52289530470144.

The previous prime is 122201100212173. The next prime is 122201100212291. The reversal of 122201100212212 is 212212001102221.

It is a super-2 number, since 2×1222011002122122 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122201100212212.

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, 62380989 + ... + 64310107.

It is an arithmetic number, because the mean of its divisors is an integer number (5099725176000).

Almost surely, 2122201100212212 is an apocalyptic number.

It is an amenable number.

122201100212212 is an abundant number, since it is smaller than the sum of its proper divisors (122585708235788).

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

122201100212212 is a wasteful number, since it uses less digits than its factorization.

122201100212212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932688 (or 1932686 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 122201100212212 its reverse (212212001102221), we get a palindrome (334413101314433).

The spelling of 122201100212212 in words is "one hundred twenty-two trillion, two hundred one billion, one hundred million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 829 1658 2729 3316 5458 5803 10916 11606 19103 23212 38206 76412 1929119 2262341 3858238 4524682 7716476 9049364 13503833 15836387 27007666 31672774 54015332 63345548 1599239651 3198479302 5264565751 6396958604 10529131502 11194677557 21058263004 22389355114 36851960257 44778710228 73703920514 147407841028 4364325007579 8728650015158 17457300030316 30550275053053 61100550106106 122201100212212