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120223233120 = 25352391047971
BaseRepresentation
bin110111111110111011…
…1001111010001100000
3102111022120020000202210
41233331313033101200
53432204121424440
6131121345042120
711454146422554
oct1577567172140
9374276200683
10120223233120
1146a93976501
121b372626340
13b44c517583
145b66c55864
1531d989da80
hex1bfddcf460

120223233120 has 96 divisors (see below), whose sum is σ = 380288079360. Its totient is φ = 31925358080.

The previous prime is 120223233107. The next prime is 120223233131. The reversal of 120223233120 is 21332322021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 409266 + ... + 638705.

It is an arithmetic number, because the mean of its divisors is an integer number (3961334160).

Almost surely, 2120223233120 is an apocalyptic number.

120223233120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120223233120 is an abundant number, since it is smaller than the sum of its proper divisors (260064846240).

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

120223233120 is a wasteful number, since it uses less digits than its factorization.

120223233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048228 (or 1048220 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 120223233120 its reverse (21332322021), we get a palindrome (141555555141).

The spelling of 120223233120 in words is "one hundred twenty billion, two hundred twenty-three million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 239 240 478 480 717 956 1195 1434 1912 2390 2868 3585 3824 4780 5736 7170 7648 9560 11472 14340 19120 22944 28680 38240 57360 114720 1047971 2095942 3143913 4191884 5239855 6287826 8383768 10479710 12575652 15719565 16767536 20959420 25151304 31439130 33535072 41918840 50302608 62878260 83837680 100605216 125756520 167675360 250465069 251513040 500930138 503026080 751395207 1001860276 1252325345 1502790414 2003720552 2504650690 3005580828 3756976035 4007441104 5009301380 6011161656 7513952070 8014882208 10018602760 12022323312 15027904140 20037205520 24044646624 30055808280 40074411040 60111616560 120223233120