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120012002000 = 24531141133051
BaseRepresentation
bin110111111000101000…
…1011101001011010000
3102110202211202101010222
41233301101131023100
53431241033031000
6131044401412212
711446003120442
oct1576121351320
9373684671128
10120012002000
1146995712430
121b31393a068
13b41782a247
145b46b8c492
1531c6076a85
hex1bf145d2d0

120012002000 has 160 divisors (see below), whose sum is σ = 324293493888. Its totient is φ = 42576000000.

The previous prime is 120012001987. The next prime is 120012002003. The reversal of 120012002000 is 200210021.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120012002003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 835475 + ... + 968525.

Almost surely, 2120012002000 is an apocalyptic number.

120012002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120012002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162146746944).

120012002000 is an abundant number, since it is smaller than the sum of its proper divisors (204281491888).

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

120012002000 is a wasteful number, since it uses less digits than its factorization.

120012002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133126 (or 133110 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 120012002000 its reverse (200210021), we get a palindrome (120212212021).

The spelling of 120012002000 in words is "one hundred twenty billion, twelve million, two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 41 44 50 55 80 82 88 100 110 125 164 176 200 205 220 250 275 328 400 410 440 451 500 550 656 820 880 902 1000 1025 1100 1375 1640 1804 2000 2050 2200 2255 2750 3280 3608 4100 4400 4510 5125 5500 7216 8200 9020 10250 11000 11275 16400 18040 20500 22000 22550 36080 41000 45100 56375 82000 90200 112750 133051 180400 225500 266102 451000 532204 665255 902000 1064408 1330510 1463561 2128816 2661020 2927122 3326275 5322040 5455091 5854244 6652550 7317805 10644080 10910182 11708488 13305100 14635610 16631375 21820364 23416976 26610200 27275455 29271220 33262750 36589025 43640728 53220400 54550910 58542440 60006001 66525500 73178050 87281456 109101820 117084880 120012002 133051000 136377275 146356100 182945125 218203640 240024004 266102000 272754550 292712200 300030005 365890250 436407280 480048008 545509100 585424400 600060010 681886375 731780500 960096016 1091018200 1200120020 1363772750 1463561000 1500150025 2182036400 2400240040 2727545500 2927122000 3000300050 4800480080 5455091000 6000600100 7500750125 10910182000 12001200200 15001500250 24002400400 30003000500 60006001000 120012002000