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120405497856 = 211372799607
BaseRepresentation
bin111000000100010111…
…0100001100000000000
3102111210021012000222120
41300020232201200000
53433042301412411
6131151415404240
711461521562620
oct1601056414000
9374707160876
10120405497856
1147077845716
121b403683680
13b47b202227
145b8313c880
1531ea8a3106
hex1c08ba1800

120405497856 has 96 divisors (see below), whose sum is σ = 366860632320. Its totient is φ = 34401558528.

The previous prime is 120405497833. The next prime is 120405497879. The reversal of 120405497856 is 658794504021.

120405497856 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (120405497833) and next prime (120405497879).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 120405497799 and 120405497808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1356796 + ... + 1442811.

It is an arithmetic number, because the mean of its divisors is an integer number (3821464920).

Almost surely, 2120405497856 is an apocalyptic number.

120405497856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

120405497856 is an abundant number, since it is smaller than the sum of its proper divisors (246455134464).

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

120405497856 is an equidigital number, since it uses as much as digits as its factorization.

120405497856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799639 (or 2799619 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 120405497856 in words is "one hundred twenty billion, four hundred five million, four hundred ninety-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 5376 6144 7168 10752 14336 21504 43008 2799607 5599214 8398821 11198428 16797642 19597249 22396856 33595284 39194498 44793712 58791747 67190568 78388996 89587424 117583494 134381136 156777992 179174848 235166988 268762272 313555984 358349696 470333976 537524544 627111968 716699392 940667952 1075049088 1254223936 1433398784 1881335904 2150098176 2508447872 2866797568 3762671808 4300196352 5016895744 5733595136 7525343616 8600392704 10033791488 15050687232 17200785408 20067582976 30101374464 40135165952 60202748928 120405497856