Search a number
-
+
122221021210002 = 232111347482914223
BaseRepresentation
bin11011110010100011001100…
…100011011010010110010010
3121000202012211010000200102100
4123302203030203122112102
5112004432122412210002
61111535321221301230
734513114562032611
oct3362431443322622
9530665733020370
10122221021210002
1135a4170a1a5420
121185b304864816
1353275151100c0
142227759795878
15e1e3b12e411c
hex6f28cc8da592

122221021210002 has 48 divisors (see below), whose sum is σ = 311108053995648. Its totient is φ = 34187698239840.

The previous prime is 122221021209961. The next prime is 122221021210063. The reversal of 122221021210002 is 200012120122221.

It is a happy number.

122221021210002 is a `hidden beast` number, since 1 + 222 + 210 + 21 + 210 + 0 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23741454538 + ... + 23741459685.

It is an arithmetic number, because the mean of its divisors is an integer number (6481417791576).

Almost surely, 2122221021210002 is an apocalyptic number.

122221021210002 is an abundant number, since it is smaller than the sum of its proper divisors (188887032785646).

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

122221021210002 is a wasteful number, since it uses less digits than its factorization.

122221021210002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47482914255 (or 47482914252 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122221021210002 its reverse (200012120122221), we get a palindrome (322233141332223).

The spelling of 122221021210002 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, twenty-one million, two hundred ten thousand, two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 858 1287 2574 47482914223 94965828446 142448742669 284897485338 427346228007 522312056453 617277884899 854692456014 1044624112906 1234555769798 1566936169359 1851833654697 3133872338718 3703667309394 4700808508077 5555500964091 6790056733889 9401617016154 11111001928182 13580113467778 20370170201667 40740340403334 61110510605001 122221021210002