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120999900 = 223527157367
BaseRepresentation
bin1110011011001…
…00111111011100
322102200102122210
413031210333130
5221433444100
620001240420
72666324250
oct715447734
9272612583
10120999900
116233501a
1234633110
131c0b7098
14120da260
15a951c50
hex7364fdc

120999900 has 144 divisors (see below), whose sum is σ = 403751936. Its totient is φ = 27406080.

The previous prime is 120999889. The next prime is 120999947. The reversal of 120999900 is 9999021.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 329517 + ... + 329883.

Almost surely, 2120999900 is an apocalyptic number.

120999900 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 120999900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201875968).

120999900 is an abundant number, since it is smaller than the sum of its proper divisors (282752036).

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

120999900 is a wasteful number, since it uses less digits than its factorization.

120999900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 39.

The square root of 120999900 is about 10999.9954545445. The cubic root of 120999900 is about 494.6086080690.

The spelling of 120999900 in words is "one hundred twenty million, nine hundred ninety-nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 157 175 210 300 314 350 367 420 471 525 628 700 734 785 942 1050 1099 1101 1468 1570 1835 1884 2100 2198 2202 2355 2569 3140 3297 3670 3925 4396 4404 4710 5138 5495 5505 6594 7340 7707 7850 9175 9420 10276 10990 11010 11775 12845 13188 15414 15700 16485 18350 21980 22020 23550 25690 27475 27525 30828 32970 36700 38535 47100 51380 54950 55050 57619 64225 65940 77070 82425 109900 110100 115238 128450 154140 164850 172857 192675 230476 256900 288095 329700 345714 385350 403333 576190 691428 770700 806666 864285 1152380 1209999 1440475 1613332 1728570 2016665 2419998 2880950 3457140 4033330 4321425 4839996 5761900 6049995 8066660 8642850 10083325 12099990 17285700 20166650 24199980 30249975 40333300 60499950 120999900