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12042234672 = 24313104918397
BaseRepresentation
bin10110011011100010…
…11110101100110000
31011002020120220102120
423031301132230300
5144130303002142
65310534514240
7604263206616
oct131561365460
934066526376
1012042234672
11511a589166
122400b05980
13119bb31560
148234936b6
154a73147ec
hex2cdc5eb30

12042234672 has 80 divisors (see below), whose sum is σ = 33535874400. Its totient is φ = 3701569536.

The previous prime is 12042234671. The next prime is 12042234691. The reversal of 12042234672 is 27643224021.

It is not an unprimeable number, because it can be changed into a prime (12042234671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 645378 + ... + 663774.

It is an arithmetic number, because the mean of its divisors is an integer number (419198430).

Almost surely, 212042234672 is an apocalyptic number.

12042234672 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 12042234672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16767937200).

12042234672 is an abundant number, since it is smaller than the sum of its proper divisors (21493639728).

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

12042234672 is a wasteful number, since it uses less digits than its factorization.

12042234672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19470 (or 19464 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

Adding to 12042234672 its reverse (27643224021), we get a palindrome (39685458693).

The spelling of 12042234672 in words is "twelve billion, forty-two million, two hundred thirty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1049 2098 3147 4196 6294 8392 12588 13637 16784 18397 25176 27274 36794 40911 50352 54548 55191 73588 81822 109096 110382 147176 163644 218192 220764 239161 294352 327288 441528 478322 654576 717483 883056 956644 1434966 1913288 2869932 3826576 5739864 11479728 19298453 38596906 57895359 77193812 115790718 154387624 231581436 250879889 308775248 463162872 501759778 752639667 926325744 1003519556 1505279334 2007039112 3010558668 4014078224 6021117336 12042234672