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120132003200 = 2752113412841
BaseRepresentation
bin110111111100001101…
…1001110010110000000
3102111002012120001211212
41233320123032112000
53432012243100300
6131104325425252
711451661115246
oct1577033162600
9374065501755
10120132003200
1146a47425080
121b347b6b228
13b436654881
145b58aa8796
1531d187c935
hex1bf86ce580

120132003200 has 96 divisors (see below), whose sum is σ = 323742192120. Its totient is φ = 43684352000.

The previous prime is 120132003193. The next prime is 120132003217. The reversal of 120132003200 is 2300231021.

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 (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1671221 + ... + 1741620.

Almost surely, 2120132003200 is an apocalyptic number.

120132003200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120132003200 is an abundant number, since it is smaller than the sum of its proper divisors (203610188920).

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

120132003200 is a wasteful number, since it uses less digits than its factorization.

120132003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3412876 (or 3412859 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 120132003200 its reverse (2300231021), we get a palindrome (122432234221).

The spelling of 120132003200 in words is "one hundred twenty billion, one hundred thirty-two million, three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 128 160 176 200 220 275 320 352 400 440 550 640 704 800 880 1100 1408 1600 1760 2200 3200 3520 4400 7040 8800 17600 35200 3412841 6825682 13651364 17064205 27302728 34128410 37541251 54605456 68256820 75082502 85321025 109210912 136513640 150165004 170642050 187706255 218421824 273027280 300330008 341284100 375412510 436843648 546054560 600660016 682568200 750825020 938531275 1092109120 1201320032 1365136400 1501650040 1877062550 2184218240 2402640064 2730272800 3003300080 3754125100 4805280128 5460545600 6006600160 7508250200 10921091200 12013200320 15016500400 24026400640 30033000800 60066001600 120132003200