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120003133212 = 2232171311678963
BaseRepresentation
bin110111111000010111…
…1100111111100011100
3102110202020001210110100
41233300233213330130
53431231300230322
6131043443341100
711445534542064
oct1576057477434
9373666053410
10120003133212
1146990705156
121b310981790
13b415a43541
145b459203a4
1531c53c3dac
hex1bf0be7f1c

120003133212 has 144 divisors (see below), whose sum is σ = 325610917632. Its totient is φ = 37132792320.

The previous prime is 120003133207. The next prime is 120003133253. The reversal of 120003133212 is 212331300021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13384243 + ... + 13393205.

It is an arithmetic number, because the mean of its divisors is an integer number (2261186928).

Almost surely, 2120003133212 is an apocalyptic number.

120003133212 is a gapful number since it is divisible by the number (12) 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 120003133212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162805458816).

120003133212 is an abundant number, since it is smaller than the sum of its proper divisors (205607784420).

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

120003133212 is a wasteful number, since it uses less digits than its factorization.

120003133212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9288 (or 9283 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 120003133212 its reverse (212331300021), we get a palindrome (332334433233).

The spelling of 120003133212 in words is "one hundred twenty billion, three million, one hundred thirty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 131 153 167 204 262 306 334 393 501 524 612 668 786 1002 1179 1503 1572 2004 2227 2358 2839 3006 4454 4716 5678 6012 6681 8517 8908 8963 11356 13362 17034 17926 20043 21877 25551 26724 26889 34068 35852 40086 43754 51102 53778 65631 80172 80667 87508 102204 107556 131262 152371 161334 196893 262524 304742 322668 371909 393786 457113 609484 743818 787572 914226 1115727 1174153 1371339 1487636 1496821 1828452 2231454 2348306 2742678 2993642 3347181 3522459 4462908 4490463 4696612 5485356 5987284 6694362 7044918 8980926 10567377 13388724 13471389 14089836 17961852 19960601 21134754 25445957 26942778 39921202 42269508 50891914 53885556 59881803 76337871 79842404 101783828 119763606 152675742 179645409 196083551 229013613 239527212 305351484 359290818 392167102 458027226 588250653 718581636 784334204 916054452 1176501306 1764751959 2353002612 3333420367 3529503918 6666840734 7059007836 10000261101 13333681468 20000522202 30000783303 40001044404 60001566606 120003133212