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12299919025 = 524125412
BaseRepresentation
bin10110111010010000…
…11101111010110001
31011202012110121220111
423131020131322301
5200142234402100
65352301541321
7613542405142
oct133510357261
934665417814
1012299919025
115241a90239
122473274841
1312103347c4
148497adac9
154bec656ba
hex2dd21deb1

12299919025 has 27 divisors (see below), whose sum is σ = 15661920099. Its totient is φ = 9582192000.

The previous prime is 12299919019. The next prime is 12299919041. The reversal of 12299919025 is 52091999221.

The square root of 12299919025 is 110905.

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

It can be written as a sum of positive squares in 13 ways, for example, as 12292822129 + 7096896 = 110873^2 + 2664^2 .

It is not a de Polignac number, because 12299919025 - 23 = 12299919017 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12299919025.

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 26 ways as a sum of consecutive naturals, for example, 22735255 + ... + 22735795.

Almost surely, 212299919025 is an apocalyptic number.

12299919025 is the 110905-th square number.

12299919025 is the 55453-rd centered octagonal number.

It is an amenable number.

12299919025 is a deficient number, since it is larger than the sum of its proper divisors (3362001074).

12299919025 is an frugal number, since it uses more digits than its factorization.

12299919025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 49.

Multiplying 12299919025 by its sum of digits (49), we get a square (602696032225 = 7763352).

The spelling of 12299919025 in words is "twelve billion, two hundred ninety-nine million, nine hundred nineteen thousand, twenty-five".

Divisors: 1 5 25 41 205 541 1025 1681 2705 8405 13525 22181 42025 110905 292681 554525 909421 1463405 4547105 7317025 11999921 22735525 59999605 299998025 491996761 2459983805 12299919025