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12200034025 = 524011216961
BaseRepresentation
bin10110101110010110…
…11011111011101001
31011111020111221110001
423113023123323221
5144441202042100
65334333023001
7611220402214
oct132713337351
934436457401
1012200034025
1151a0668153
122445924a61
1311c573145a
1483a40c77b
154b60d4d6a
hex2d72dbee9

12200034025 has 12 divisors (see below), whose sum is σ = 15165780444. Its totient is φ = 9735680000.

The previous prime is 12200034023. The next prime is 12200034053. The reversal of 12200034025 is 52043000221.

It can be written as a sum of positive squares in 6 ways, for example, as 1787260176 + 10412773849 = 42276^2 + 102043^2 .

It is not a de Polignac number, because 12200034025 - 21 = 12200034023 is a prime.

It is a super-2 number, since 2×122000340252 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12200033993 and 12200034011.

It is not an unprimeable number, because it can be changed into a prime (12200034023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 598456 + ... + 618505.

It is an arithmetic number, because the mean of its divisors is an integer number (1263815037).

Almost surely, 212200034025 is an apocalyptic number.

It is an amenable number.

12200034025 is a deficient number, since it is larger than the sum of its proper divisors (2965746419).

12200034025 is a wasteful number, since it uses less digits than its factorization.

12200034025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217372 (or 1217367 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

Adding to 12200034025 its reverse (52043000221), we get a palindrome (64243034246).

It can be divided in two parts, 122000 and 34025, that added together give a square (156025 = 3952).

The spelling of 12200034025 in words is "twelve billion, two hundred million, thirty-four thousand, twenty-five".

Divisors: 1 5 25 401 2005 10025 1216961 6084805 30424025 488001361 2440006805 12200034025