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12202132020 = 223513101315443
BaseRepresentation
bin10110101110100110…
…11100001000110100
31011111101110112100120
423113103130020310
5144442221211040
65334450011540
7611244260631
oct132723341064
934441415316
1012202132020
1151a1870431
122446576bb0
1311c5cb7380
1483a7d7188
154b639b7d0
hex2d74dc234

12202132020 has 96 divisors (see below), whose sum is σ = 36832828032. Its totient is φ = 3000442368.

The previous prime is 12202132001. The next prime is 12202132031. The reversal of 12202132020 is 2023120221.

It is a happy number.

12202132020 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 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, 782419 + ... + 797861.

It is an arithmetic number, because the mean of its divisors is an integer number (383675292).

Almost surely, 212202132020 is an apocalyptic number.

12202132020 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 12202132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18416414016).

12202132020 is an abundant number, since it is smaller than the sum of its proper divisors (24630696012).

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

12202132020 is a wasteful number, since it uses less digits than its factorization.

12202132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16481 (or 16479 counting only the distinct ones).

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

Adding to 12202132020 its reverse (2023120221), we get a palindrome (14225252241).

The spelling of 12202132020 in words is "twelve billion, two hundred two million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1013 2026 3039 4052 5065 6078 10130 12156 13169 15195 15443 20260 26338 30390 30886 39507 46329 52676 60780 61772 65845 77215 79014 92658 131690 154430 158028 185316 197535 200759 231645 263380 308860 395070 401518 463290 602277 790140 803036 926580 1003795 1204554 2007590 2409108 3011385 4015180 6022770 12045540 15643759 31287518 46931277 62575036 78218795 93862554 156437590 187725108 203368867 234656385 312875180 406737734 469312770 610106601 813475468 938625540 1016844335 1220213202 2033688670 2440426404 3050533005 4067377340 6101066010 12202132020