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12372171672 = 2337317930071
BaseRepresentation
bin10111000010111000…
…00101101110011000
31011221020102102220110
423201130011232120
5200314233443142
65403402324320
7615410503230
oct134134055630
934836372813
1012372171672
11527984a773
1224934b96a0
1312222b1753
1485521acc0
154c628899c
hex2e1705b98

12372171672 has 128 divisors (see below), whose sum is σ = 36952473600. Its totient is φ = 3377462400.

The previous prime is 12372171671. The next prime is 12372171673. The reversal of 12372171672 is 27617127321.

It is an interprime number because it is at equal distance from previous prime (12372171671) and next prime (12372171673).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12372171672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12372171671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 396397 + ... + 426467.

It is an arithmetic number, because the mean of its divisors is an integer number (288691200).

Almost surely, 212372171672 is an apocalyptic number.

12372171672 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 12372171672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18476236800).

12372171672 is an abundant number, since it is smaller than the sum of its proper divisors (24580301928).

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

12372171672 is a wasteful number, since it uses less digits than its factorization.

12372171672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30197 (or 30193 counting only the distinct ones).

The product of its digits is 49392, while the sum is 39.

Adding to 12372171672 its reverse (27617127321), we get a palindrome (39989298993).

The spelling of 12372171672 in words is "twelve billion, three hundred seventy-two million, one hundred seventy-one thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 79 84 93 124 158 168 186 217 237 248 316 372 434 474 553 632 651 744 868 948 1106 1302 1659 1736 1896 2212 2449 2604 3318 4424 4898 5208 6636 7347 9796 13272 14694 17143 19592 29388 30071 34286 51429 58776 60142 68572 90213 102858 120284 137144 180426 205716 210497 240568 360852 411432 420994 631491 721704 841988 932201 1262982 1683976 1864402 2375609 2525964 2796603 3728804 4751218 5051928 5593206 6525407 7126827 7457608 9502436 11186412 13050814 14253654 16629263 19004872 19576221 22372824 26101628 28507308 33258526 39152442 49887789 52203256 57014616 66517052 73643879 78304884 99775578 133034104 147287758 156609768 199551156 220931637 294575516 399102312 441863274 515507153 589151032 883726548 1031014306 1546521459 1767453096 2062028612 3093042918 4124057224 6186085836 12372171672