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120601600479376 = 241021226892
BaseRepresentation
bin11011011010111110111111…
…100011100101000010010000
3120211000101210220012212101121
4123122332333203211002100
5111301414034210320001
61104255335503012024
734255115041656622
oct3332767743450220
9524011726185347
10120601600479376
1135477940436635
1211639493b9a014
13523a8b382a1a3
1421ad211ad0c12
15de21cec696a1
hex6dafbf8e5090

120601600479376 has 45 divisors (see below), whose sum is σ = 233981699011083. Its totient is φ = 60219336683520.

The previous prime is 120601600479329. The next prime is 120601600479379. The reversal of 120601600479376 is 673974006106021.

The square root of 120601600479376 is 10981876.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 28915613400976 + 91685987078400 = 5377324^2 + 9575280^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120601600479379) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 44849980240 + ... + 44849982928.

Almost surely, 2120601600479376 is an apocalyptic number.

120601600479376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

120601600479376 is the 10981876-th square number.

It is an amenable number.

120601600479376 is a deficient number, since it is larger than the sum of its proper divisors (113380098531707).

120601600479376 is an frugal number, since it uses more digits than its factorization.

120601600479376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7428 (or 3712 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 52.

The spelling of 120601600479376 in words is "one hundred twenty trillion, six hundred one billion, six hundred million, four hundred seventy-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 1021 2042 2689 4084 5378 8168 10756 16336 21512 43024 1042441 2084882 2745469 4169764 5490938 7230721 8339528 10981876 14461442 16679056 21963752 28922884 43927504 57845768 115691536 2803123849 5606247698 7382566141 11212495396 14765132282 22424990792 29530264564 44849981584 59060529128 118121058256 7537600029961 15075200059922 30150400119844 60300800239688 120601600479376