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12001032020 = 2251771613811
BaseRepresentation
bin10110010110101000…
…10011011101010100
31010222101001121000102
423023110103131110
5144034231011040
65302503433232
7603253042355
oct131324233524
933871047012
1012001032020
1150a92a6a8a
1223ab155818
1311934364a3
1481bc09d2c
154a38c6515
hex2cb513754

12001032020 has 96 divisors (see below), whose sum is σ = 27138053376. Its totient is φ = 4441651200.

The previous prime is 12001032007. The next prime is 12001032041. The reversal of 12001032020 is 2023010021.

It is a happy number.

12001032020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12001031992 and 12001032010.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 14797415 + ... + 14798225.

It is an arithmetic number, because the mean of its divisors is an integer number (282688056).

Almost surely, 212001032020 is an apocalyptic number.

12001032020 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 12001032020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13569026688).

12001032020 is an abundant number, since it is smaller than the sum of its proper divisors (15137021356).

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

12001032020 is a wasteful number, since it uses less digits than its factorization.

12001032020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 12001032020 its reverse (2023010021), we get a palindrome (14024042041).

The spelling of 12001032020 in words is "twelve billion, one million, thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 71 85 142 170 284 340 355 613 710 811 1207 1226 1420 1622 2414 2452 3065 3244 4055 4828 6035 6130 8110 10421 12070 12260 13787 16220 20842 24140 27574 41684 43523 52105 55148 57581 68935 87046 104210 115162 137870 174092 208420 217615 230324 275740 287905 435230 497143 575810 739891 870460 978877 994286 1151620 1479782 1957754 1988572 2485715 2959564 3699455 3915508 4894385 4971430 7398910 8451431 9788770 9942860 14797820 16902862 19577540 33805724 35297153 42257155 70594306 84514310 141188612 169028620 176485765 352971530 600051601 705943060 1200103202 2400206404 3000258005 6000516010 12001032020