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12042648121 = 726122572
BaseRepresentation
bin10110011011100110…
…00011101000111001
31011002021100220120111
423031303003220321
5144130404214441
65310551424321
7604266551200
oct131563035071
934067326514
1012042648121
11511a840859
1224010850a1
13119bc477ba
14823560237
154a7397081
hex2cdcc3a39

12042648121 has 27 divisors (see below), whose sum is σ = 14297844717. Its totient is φ = 10113546240.

The previous prime is 12042648113. The next prime is 12042648143. The reversal of 12042648121 is 12184624021.

The square root of 12042648121 is 109739.

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 38378025 + 12004270096 = 6195^2 + 109564^2 .

It is not a de Polignac number, because 12042648121 - 23 = 12042648113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12042648161) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 46858425 + ... + 46858681.

Almost surely, 212042648121 is an apocalyptic number.

12042648121 is the 109739-th square number.

12042648121 is the 54870-th centered octagonal number.

It is an amenable number.

12042648121 is a deficient number, since it is larger than the sum of its proper divisors (2255196596).

12042648121 is an frugal number, since it uses more digits than its factorization.

12042648121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The spelling of 12042648121 in words is "twelve billion, forty-two million, six hundred forty-eight thousand, one hundred twenty-one".

Divisors: 1 7 49 61 257 427 1799 2989 3721 12593 15677 26047 66049 109739 182329 462343 768173 956297 3236401 4028989 6694079 28202923 46858553 197420461 245768329 1720378303 12042648121