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12120403020 = 22351123745121
BaseRepresentation
bin10110100100110111…
…01010110001001100
31011021200200021020120
423102123222301030
5144310310344040
65322410144540
7606232503645
oct132233526114
934250607216
1012120403020
11515a719200
122423122150
1311b20a000b
1482da006cc
154ae1057d0
hex2d26eac4c

12120403020 has 144 divisors (see below), whose sum is σ = 38311826784. Its totient is φ = 2858803200.

The previous prime is 12120403019. The next prime is 12120403037. The reversal of 12120403020 is 2030402121.

12120403020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246060 + ... + 291180.

Almost surely, 212120403020 is an apocalyptic number.

12120403020 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 12120403020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19155913392).

12120403020 is an abundant number, since it is smaller than the sum of its proper divisors (26191423764).

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

12120403020 is a wasteful number, since it uses less digits than its factorization.

12120403020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45192 (or 45179 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12120403020 its reverse (2030402121), we get a palindrome (14150805141).

The spelling of 12120403020 in words is "twelve billion, one hundred twenty million, four hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 37 44 55 60 66 74 110 111 121 132 148 165 185 220 222 242 330 363 370 407 444 484 555 605 660 726 740 814 1110 1210 1221 1452 1628 1815 2035 2220 2420 2442 3630 4070 4477 4884 6105 7260 8140 8954 12210 13431 17908 22385 24420 26862 44770 45121 53724 67155 89540 90242 134310 135363 180484 225605 268620 270726 451210 496331 541452 676815 902420 992662 1353630 1488993 1669477 1985324 2481655 2707260 2977986 3338954 4963310 5008431 5459641 5955972 6677908 7444965 8347385 9926620 10016862 10919282 14889930 16378923 16694770 18364247 20033724 21838564 25042155 27298205 29779860 32757846 33389540 36728494 50084310 54596410 55092741 65515692 73456988 81894615 91821235 100168620 109192820 110185482 163789230 183642470 202006717 220370964 275463705 327578460 367284940 404013434 550927410 606020151 808026868 1010033585 1101854820 1212040302 2020067170 2424080604 3030100755 4040134340 6060201510 12120403020