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1212084225 = 32521122112
BaseRepresentation
bin100100000111110…
…1111000000000001
310010110202020222100
41020033233000001
54440243143400
6320135101013
742015355152
oct11017570001
93113666870
101212084225
1157220a900
12299b11769
13164165901
14b6d97929
1571626100
hex483ef001

1212084225 has 81 divisors (see below), whose sum is σ = 2397644067. Its totient is φ = 584892000.

The previous prime is 1212084169. The next prime is 1212084229. The reversal of 1212084225 is 5224802121.

The square root of 1212084225 is 34815.

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

It can be written as a sum of positive squares in only one way, i.e., 436350321 + 775733904 = 20889^2 + 27852^2 .

It is not a de Polignac number, because 1212084225 - 215 = 1212051457 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1212084229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5744370 + ... + 5744580.

Almost surely, 21212084225 is an apocalyptic number.

1212084225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1212084225 is the 34815-th square number.

1212084225 is the 17408-th centered octagonal number.

It is an amenable number.

1212084225 is a deficient number, since it is larger than the sum of its proper divisors (1185559842).

1212084225 is a wasteful number, since it uses less digits than its factorization.

1212084225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The cubic root of 1212084225 is about 1066.2137190924.

Adding to 1212084225 its reverse (5224802121), we get a palindrome (6436886346).

The spelling of 1212084225 in words is "one billion, two hundred twelve million, eighty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 121 165 211 225 275 363 495 605 633 825 1055 1089 1815 1899 2321 2475 3025 3165 5275 5445 6963 9075 9495 11605 15825 20889 25531 27225 34815 44521 47475 58025 76593 104445 127655 133563 174075 222605 229779 382965 400689 489731 522225 638275 667815 1113025 1148895 1469193 1914825 2003445 2448655 3339075 4407579 5387041 5744475 7345965 10017225 12243275 16161123 22037895 26935205 36729825 48483369 80805615 110189475 134676025 242416845 404028075 1212084225