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1200128120440 = 235127457516949
BaseRepresentation
bin10001011101101101001…
…101011101011001111000
311020201201222210022011221
4101131231031131121320
5124130330244323230
62315155314401424
7152464202465014
oct21355515353170
94221658708157
101200128120440
11422a76044957
12174714590274
138922ccc5b12
144212d559544
152134109727a
hex1176d35d678

1200128120440 has 64 divisors (see below), whose sum is σ = 2727510912000. Its totient is φ = 475228228608.

The previous prime is 1200128120417. The next prime is 1200128120479. The reversal of 1200128120440 is 440218210021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2063086 + ... + 2580034.

It is an arithmetic number, because the mean of its divisors is an integer number (42617358000).

Almost surely, 21200128120440 is an apocalyptic number.

1200128120440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200128120440 is an abundant number, since it is smaller than the sum of its proper divisors (1527382791560).

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

1200128120440 is a wasteful number, since it uses less digits than its factorization.

1200128120440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517544 (or 517540 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The spelling of 1200128120440 in words is "one trillion, two hundred billion, one hundred twenty-eight million, one hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 127 254 457 508 635 914 1016 1270 1828 2285 2540 3656 4570 5080 9140 18280 58039 116078 232156 290195 464312 516949 580390 1033898 1160780 2067796 2321560 2584745 4135592 5169490 10338980 20677960 65652523 131305046 236245693 262610092 328262615 472491386 525220184 656525230 944982772 1181228465 1313050460 1889965544 2362456930 2626100920 4724913860 9449827720 30003203011 60006406022 120012812044 150016015055 240025624088 300032030110 600064060220 1200128120440