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12002210016 = 253196580159
BaseRepresentation
bin10110010110110001…
…10011000011100000
31010222110021102220220
423023120303003200
5144040031210031
65302545003040
7603266046636
oct131330630340
933873242826
1012002210016
1150a9a31035
1223ab623480
131193759724
1481c035356
154a3a5a596
hex2cb6330e0

12002210016 has 48 divisors (see below), whose sum is σ = 33164006400. Its totient is φ = 3790171008.

The previous prime is 12002209993. The next prime is 12002210027. The reversal of 12002210016 is 61001220021.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 12002209977 and 12002210004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3288256 + ... + 3291903.

It is an arithmetic number, because the mean of its divisors is an integer number (690916800).

Almost surely, 212002210016 is an apocalyptic number.

12002210016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12002210016 is an abundant number, since it is smaller than the sum of its proper divisors (21161796384).

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

12002210016 is a wasteful number, since it uses less digits than its factorization.

12002210016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6580191 (or 6580183 counting only the distinct ones).

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

Adding to 12002210016 its reverse (61001220021), we get a palindrome (73003430037).

The spelling of 12002210016 in words is "twelve billion, two million, two hundred ten thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 6580159 13160318 19740477 26320636 39480954 52641272 78961908 105282544 125023021 157923816 210565088 250046042 315847632 375069063 500092084 631695264 750138126 1000184168 1500276252 2000368336 3000552504 4000736672 6001105008 12002210016