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12432033020 = 22511176154493
BaseRepresentation
bin10111001010000000…
…11100010011111100
31012002102001201020102
423211000130103330
5200430100024040
65413341340232
7620035352141
oct134500342374
935072051212
1012432033020
1152aa616460
1224ab567678
131231810574
1485d1603c8
154cb660515
hex2e501c4fc

12432033020 has 96 divisors (see below), whose sum is σ = 30650913216. Its totient is φ = 4184985600.

The previous prime is 12432032993. The next prime is 12432033043. The reversal of 12432033020 is 2033023421.

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 = 12432032983 and 12432033001.

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, 200894 + ... + 255386.

It is an arithmetic number, because the mean of its divisors is an integer number (319280346).

Almost surely, 212432033020 is an apocalyptic number.

12432033020 is a gapful number since it is divisible by the number (10) 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 12432033020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15325456608).

12432033020 is an abundant number, since it is smaller than the sum of its proper divisors (18218880196).

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

12432033020 is a wasteful number, since it uses less digits than its factorization.

12432033020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54591 (or 54589 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 12432033020 its reverse (2033023421), we get a palindrome (14465056441).

The spelling of 12432033020 in words is "twelve billion, four hundred thirty-two million, thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 61 68 85 110 122 170 187 220 244 305 340 374 610 671 748 935 1037 1220 1342 1870 2074 2684 3355 3740 4148 5185 6710 10370 11407 13420 20740 22814 45628 54493 57035 108986 114070 217972 228140 272465 544930 599423 926381 1089860 1198846 1852762 2397692 2997115 3324073 3705524 4631905 5994230 6648146 9263810 10190191 11988460 13296292 16620365 18527620 20380382 33240730 36564803 40760764 50950955 56509241 66481460 73129606 101901910 113018482 146259212 182824015 203803820 226036964 282546205 365648030 565092410 621601651 731296060 1130184820 1243203302 2486406604 3108008255 6216016510 12432033020