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12013332320 = 255116825757
BaseRepresentation
bin10110011000000110…
…01110011101100000
31011000020012111212002
423030003032131200
5144100403113240
65304023223132
7603462432323
oct131403163540
934006174762
1012013332320
115105238420
1223b32a7aa8
131195b52082
1481d6cc7ba
154a4a05d15
hex2cc0ce760

12013332320 has 48 divisors (see below), whose sum is σ = 30961638288. Its totient is φ = 4368483840.

The previous prime is 12013332313. The next prime is 12013332323. The reversal of 12013332320 is 2323331021.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12013332292 and 12013332301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12013332323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3411119 + ... + 3414638.

It is an arithmetic number, because the mean of its divisors is an integer number (645034131).

Almost surely, 212013332320 is an apocalyptic number.

12013332320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12013332320 is an abundant number, since it is smaller than the sum of its proper divisors (18948305968).

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

12013332320 is a wasteful number, since it uses less digits than its factorization.

12013332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6825783 (or 6825775 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 12013332320 its reverse (2323331021), we get a palindrome (14336663341).

The spelling of 12013332320 in words is "twelve billion, thirteen million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 6825757 13651514 27303028 34128785 54606056 68257570 75083327 109212112 136515140 150166654 218424224 273030280 300333308 375416635 546060560 600666616 750833270 1092121120 1201333232 1501666540 2402666464 3003333080 6006666160 12013332320