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12000330132 = 2237237385087
BaseRepresentation
bin10110010110100011…
…01000000110010100
31010222022201221012120
423023101220012110
5144034041031012
65302440415540
7603244060140
oct131321500624
933868657176
1012000330132
1150a896770a
1223aaa775b0
13119324bb7b
1481baa6220
154a37d858c
hex2cb468194

12000330132 has 96 divisors (see below), whose sum is σ = 33850048512. Its totient is φ = 3234629376.

The previous prime is 12000330029. The next prime is 12000330157. The reversal of 12000330132 is 23103300021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98493 + ... + 183579.

It is an arithmetic number, because the mean of its divisors is an integer number (352604672).

Almost surely, 212000330132 is an apocalyptic number.

12000330132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12000330132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16925024256).

12000330132 is an abundant number, since it is smaller than the sum of its proper divisors (21849718380).

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

12000330132 is a wasteful number, since it uses less digits than its factorization.

12000330132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85197 (or 85195 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 12000330132 its reverse (23103300021), we get a palindrome (35103630153).

The spelling of 12000330132 in words is "twelve billion, three hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 73 84 92 138 146 161 219 276 292 322 438 483 511 644 876 966 1022 1533 1679 1932 2044 3066 3358 5037 6132 6716 10074 11753 20148 23506 35259 47012 70518 85087 141036 170174 255261 340348 510522 595609 1021044 1191218 1786827 1957001 2382436 3573654 3914002 5871003 6211351 7147308 7828004 11742006 12422702 13699007 18634053 23484012 24845404 27398014 37268106 41097021 43479457 54796028 74536212 82194042 86958914 130438371 142861073 164388084 173917828 260876742 285722146 428583219 521753484 571444292 857166438 1000027511 1714332876 2000055022 3000082533 4000110044 6000165066 12000330132