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122131123320 = 23352344250407
BaseRepresentation
bin111000110111110010…
…1010000110001111000
3102200020112020220002210
41301233211100301320
54000111031421240
6132034541455120
711552344263633
oct1615745206170
9380215226083
10122131123320
1147882920668
121b8055714a0
13b69488159b
145ca83b4c1a
15329c119780
hex1c6f950c78

122131123320 has 64 divisors (see below), whose sum is σ = 382323525120. Its totient is φ = 31152285824.

The previous prime is 122131123319. The next prime is 122131123337. The reversal of 122131123320 is 23321131221.

It is a super-2 number, since 2×1221311233202 (a number of 23 digits) contains 22 as substring.

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, 22122444 + ... + 22127963.

It is an arithmetic number, because the mean of its divisors is an integer number (5973805080).

Almost surely, 2122131123320 is an apocalyptic number.

122131123320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122131123320 is an abundant number, since it is smaller than the sum of its proper divisors (260192401800).

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

122131123320 is a wasteful number, since it uses less digits than its factorization.

122131123320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44250444 (or 44250440 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 122131123320 its reverse (23321131221), we get a palindrome (145452254541).

The spelling of 122131123320 in words is "one hundred twenty-two billion, one hundred thirty-one million, one hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 44250407 88500814 132751221 177001628 221252035 265502442 354003256 442504070 531004884 663756105 885008140 1017759361 1062009768 1327512210 1770016280 2035518722 2655024420 3053278083 4071037444 5088796805 5310048840 6106556166 8142074888 10177593610 12213112332 15266390415 20355187220 24426224664 30532780830 40710374440 61065561660 122131123320