Search a number
-
+
122011200000220 = 22524125313526971
BaseRepresentation
bin11011101111011111110010…
…001111000001000011011100
3121000000011020022101211212111
4123233133302033001003130
5111443012414200001340
61111255101012443404
734462006164133126
oct3357376217010334
9530004208354774
10122011200000220
1135970728635a23
1211826708019564
1353107b7172abb
14221b5331b2216
15e18bd0a2baea
hex6ef7f23c10dc

122011200000220 has 24 divisors (see below), whose sum is σ = 257286688143408. Its totient is φ = 48601971782400.

The previous prime is 122011200000211. The next prime is 122011200000223. The reversal of 122011200000220 is 22000002110221.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 122011200000220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122011200000223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12656758666 + ... + 12656768305.

It is an arithmetic number, because the mean of its divisors is an integer number (10720278672642).

Almost surely, 2122011200000220 is an apocalyptic number.

122011200000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122011200000220 is an abundant number, since it is smaller than the sum of its proper divisors (135275488143188).

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

122011200000220 is a wasteful number, since it uses less digits than its factorization.

122011200000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25313527221 (or 25313527219 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 122011200000220 its reverse (22000002110221), we get a palindrome (144011202110441).

The spelling of 122011200000220 in words is "one hundred twenty-two trillion, eleven billion, two hundred million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 241 482 964 1205 2410 4820 25313526971 50627053942 101254107884 126567634855 253135269710 506270539420 6100560000011 12201120000022 24402240000044 30502800000055 61005600000110 122011200000220