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120302202112 = 28191012331051
BaseRepresentation
bin111000000001010010…
…0011110110100000000
3102111112001211001212021
41300002210132310000
53432334330431422
6131133245411224
711456125563061
oct1600244366400
9374461731767
10120302202112
1147024503034
121b394b69b14
13b4629a65a1
145b73530568
1531e179bdc7
hex1c0291ed00

120302202112 has 144 divisors (see below), whose sum is σ = 256615369920. Its totient is φ = 56125440000.

The previous prime is 120302202089. The next prime is 120302202127. The reversal of 120302202112 is 211202203021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114463987 + ... + 114465037.

It is an arithmetic number, because the mean of its divisors is an integer number (1782051180).

Almost surely, 2120302202112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120302202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128307684960).

120302202112 is an abundant number, since it is smaller than the sum of its proper divisors (136313167808).

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

120302202112 is a wasteful number, since it uses less digits than its factorization.

120302202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 120302202112 its reverse (211202203021), we get a palindrome (331504405133).

Subtracting 120302202112 from its reverse (211202203021), we obtain a palindrome (90900000909).

The spelling of 120302202112 in words is "one hundred twenty billion, three hundred two million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 76 101 128 152 202 233 256 304 404 466 608 808 932 1051 1216 1616 1864 1919 2102 2432 3232 3728 3838 4204 4427 4864 6464 7456 7676 8408 8854 12928 14912 15352 16816 17708 19969 23533 25856 29824 30704 33632 35416 39938 47066 59648 61408 67264 70832 79876 94132 106151 122816 134528 141664 159752 188264 212302 244883 245632 269056 283328 319504 376528 424604 447127 489766 491264 566656 639008 753056 849208 894254 979532 1133312 1278016 1506112 1698416 1788508 1959064 2016869 2556032 3012224 3396832 3577016 3918128 4033738 4652777 5112064 6024448 6793664 7154032 7836256 8067476 9305554 13587328 14308064 15672512 16134952 18611108 24733183 27174656 28616128 31345024 32269904 37222216 49466366 57232256 62690048 64539808 74444432 98932732 114464512 129079616 148888864 197865464 258159232 297777728 395730928 469930477 516318464 595555456 791461856 939860954 1191110912 1582923712 1879721908 3165847424 3759443816 6331694848 7518887632 15037775264 30075550528 60151101056 120302202112