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122311121120 = 2552710728201
BaseRepresentation
bin111000111101001001…
…1111001100011100000
3102200201001221201122222
41301322103321203200
54000443121333440
6132104451450212
711556661242566
oct1617223714340
9380631851588
10122311121120
1147965491681
121b8558b6968
13b6c2c54466
145cc426ba36
1532acd222b5
hex1c7a4f98e0

122311121120 has 48 divisors (see below), whose sum is σ = 288980930448. Its totient is φ = 48920908800.

The previous prime is 122311121087. The next prime is 122311121171. The reversal of 122311121120 is 21121113221.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 4323020 + ... + 4351220.

It is an arithmetic number, because the mean of its divisors is an integer number (6020436051).

Almost surely, 2122311121120 is an apocalyptic number.

122311121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122311121120 is an abundant number, since it is smaller than the sum of its proper divisors (166669809328).

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

122311121120 is a wasteful number, since it uses less digits than its factorization.

122311121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55323 (or 55315 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 122311121120 its reverse (21121113221), we get a palindrome (143432234341).

The spelling of 122311121120 in words is "one hundred twenty-two billion, three hundred eleven million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 27107 28201 54214 56402 108428 112804 135535 141005 216856 225608 271070 282010 433712 451216 542140 564020 867424 902432 1084280 1128040 2168560 2256080 4337120 4512160 764444507 1528889014 3057778028 3822222535 6115556056 7644445070 12231112112 15288890140 24462224224 30577780280 61155560560 122311121120