Search a number
-
+
122120201011220 = 22529586313591139
BaseRepresentation
bin11011110001000101010011…
…001100111000000000010100
3121000101120120210000220221222
4123301011103030320000110
5112001304132424324340
61111421125034425512
734502615265343166
oct3361052314700024
9530346523026858
10122120201011220
1135a02982892895
1211843868292298
13531ab686c7a49
14222291382c936
15e1b9600928b5
hex6f1153338014

122120201011220 has 48 divisors (see below), whose sum is σ = 265300207804800. Its totient is φ = 47162846290560.

The previous prime is 122120201011187. The next prime is 122120201011247. The reversal of 122120201011220 is 22110102021221.

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, 32210411 + ... + 35801549.

It is an arithmetic number, because the mean of its divisors is an integer number (5527087662600).

Almost surely, 2122120201011220 is an apocalyptic number.

122120201011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122120201011220 is an abundant number, since it is smaller than the sum of its proper divisors (143180006793580).

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

122120201011220 is a wasteful number, since it uses less digits than its factorization.

122120201011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3649808 (or 3649806 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122120201011220 its reverse (22110102021221), we get a palindrome (144230303032441).

The spelling of 122120201011220 in words is "one hundred twenty-two trillion, one hundred twenty billion, two hundred one million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 58631 117262 234524 293155 586310 1172620 1700299 3400598 3591139 6801196 7182278 8501495 14364556 17002990 17955695 34005980 35911390 71822780 104143031 208286062 416572124 520715155 1041430310 2082860620 210552070709 421104141418 842208282836 1052760353545 2105520707090 4211041414180 6106010050561 12212020101122 24424040202244 30530050252805 61060100505610 122120201011220