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1213212120 = 233515116691
BaseRepresentation
bin100100001010000…
…0010010111011000
310010112212120011020
41020110002113120
54441040241440
6320215202440
742031063401
oct11024022730
93115776136
101213212120
1157291024a
1229a376420
1316446c0c3
14b71ac9a8
157179a3d0
hex485025d8

1213212120 has 64 divisors (see below), whose sum is σ = 3642589440. Its totient is φ = 323260800.

The previous prime is 1213212109. The next prime is 1213212137. The reversal of 1213212120 is 212123121.

It is a super-2 number, since 2×12132121202 = 2943767296229788800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1213212120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177975 + ... + 184665.

It is an arithmetic number, because the mean of its divisors is an integer number (56915460).

Almost surely, 21213212120 is an apocalyptic number.

1213212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1213212120 is an abundant number, since it is smaller than the sum of its proper divisors (2429377320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1213212120 is a wasteful number, since it uses less digits than its factorization.

1213212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8216 (or 8212 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1213212120 is about 34831.1946392885. The cubic root of 1213212120 is about 1066.5443353633.

Adding to 1213212120 its reverse (212123121), we get a palindrome (1425335241).

The spelling of 1213212120 in words is "one billion, two hundred thirteen million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1511 3022 4533 6044 6691 7555 9066 12088 13382 15110 18132 20073 22665 26764 30220 33455 36264 40146 45330 53528 60440 66910 80292 90660 100365 133820 160584 181320 200730 267640 401460 802920 10110101 20220202 30330303 40440404 50550505 60660606 80880808 101101010 121321212 151651515 202202020 242642424 303303030 404404040 606606060 1213212120