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122322231120 = 24351729980939
BaseRepresentation
bin111000111101011111…
…0010001111101010000
3102200201211212011201110
41301322332101331100
54001003442343440
6132105525533320
711560154544345
oct1617276217520
9380654764643
10122322231120
114797078a7a1
121b859574240
13b6c534431b
145cc59207cc
1532adcb9080
hex1c7af91f50

122322231120 has 80 divisors (see below), whose sum is σ = 401504748480. Its totient is φ = 30700480512.

The previous prime is 122322231077. The next prime is 122322231127. The reversal of 122322231120 is 21132223221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122322231127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14986390 + ... + 14994549.

It is an arithmetic number, because the mean of its divisors is an integer number (5018809356).

Almost surely, 2122322231120 is an apocalyptic number.

122322231120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122322231120 is an abundant number, since it is smaller than the sum of its proper divisors (279182517360).

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

122322231120 is a wasteful number, since it uses less digits than its factorization.

122322231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29980972 (or 29980966 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 122322231120 its reverse (21132223221), we get a palindrome (143454454341).

The spelling of 122322231120 in words is "one hundred twenty-two billion, three hundred twenty-two million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 29980939 59961878 89942817 119923756 149904695 179885634 239847512 299809390 359771268 449714085 479695024 509675963 599618780 719542536 899428170 1019351926 1199237560 1439085072 1529027889 1798856340 2038703852 2398475120 2548379815 3058055778 3597712680 4077407704 5096759630 6116111556 7195425360 7645139445 8154815408 10193519260 12232223112 15290278890 20387038520 24464446224 30580557780 40774077040 61161115560 122322231120