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122320131012 = 223220117168901
BaseRepresentation
bin111000111101011011…
…0010001001111000100
3102200201200220110220200
41301322312101033010
54001002423143022
6132105412530500
711560130646522
oct1617266211704
9380650813820
10122320131012
114796a585972
121b858920a30
13b6c4a8a461
145cc5535312
1532ada01bac
hex1c7ad913c4

122320131012 has 36 divisors (see below), whose sum is σ = 309215309676. Its totient is φ = 40771108800.

The previous prime is 122320130971. The next prime is 122320131023. The reversal of 122320131012 is 210131023221.

122320131012 is a `hidden beast` number, since 1 + 22 + 320 + 1 + 310 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 63084359556 + 59235771456 = 251166^2 + 243384^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 639762 + ... + 808662.

Almost surely, 2122320131012 is an apocalyptic number.

122320131012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122320131012 is an abundant number, since it is smaller than the sum of its proper divisors (186895178664).

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

122320131012 is a wasteful number, since it uses less digits than its factorization.

122320131012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189028 (or 189023 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122320131012 its reverse (210131023221), we get a palindrome (332451154233).

The spelling of 122320131012 in words is "one hundred twenty-two billion, three hundred twenty million, one hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 20117 40234 60351 80468 120702 168901 181053 241404 337802 362106 506703 675604 724212 1013406 1520109 2026812 3040218 6080436 3397781417 6795562834 10193344251 13591125668 20386688502 30580032753 40773377004 61160065506 122320131012