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2200120124225 = 52252148137253
BaseRepresentation
bin100000000001000001011…
…000001110001101000001
321210022220011011110220212
4200001001120032031001
5242021321222433400
64402415441443505
7314645012331332
oct40010130161501
97708804143825
102200120124225
1177907a4a9101
122b6493940595
1312c616721b6a
14786b48c0289
153c36bc7e335
hex2004160e341

2200120124225 has 24 divisors (see below), whose sum is σ = 2730174545592. Its totient is φ = 1758789849600.

The previous prime is 2200120124177. The next prime is 2200120124233. The reversal of 2200120124225 is 5224210210022.

It can be written as a sum of positive squares in 12 ways, for example, as 835017646849 + 1365102477376 = 913793^2 + 1168376^2 .

It is a de Polignac number, because none of the positive numbers 2k-2200120124225 is a prime.

It is a super-2 number, since 2×22001201242252 (a number of 25 digits) contains 22 as substring.

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 2200120124225.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303335699 + ... + 303342951.

It is an arithmetic number, because the mean of its divisors is an integer number (113757272733).

Almost surely, 22200120124225 is an apocalyptic number.

2200120124225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2200120124225 is a deficient number, since it is larger than the sum of its proper divisors (530054421367).

2200120124225 is a wasteful number, since it uses less digits than its factorization.

2200120124225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14597 (or 14592 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

Adding to 2200120124225 its reverse (5224210210022), we get a palindrome (7424330334247).

The spelling of 2200120124225 in words is "two trillion, two hundred billion, one hundred twenty million, one hundred twenty-four thousand, two hundred twenty-five".

Divisors: 1 5 25 2521 4813 7253 12605 24065 36265 63025 120325 181325 12133573 18284813 34908689 60667865 91424065 174543445 303339325 457120325 872717225 88004804969 440024024845 2200120124225