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12200032020 = 223511314011487
BaseRepresentation
bin10110101110010110…
…11011011100010100
31011111020111211200210
423113023123130110
5144441202011040
65334333005420
7611220363321
oct132713333424
934436454623
1012200032020
1151a06666a0
122445923870
1311c5730577
1483a40bb48
154b60d4480
hex2d72db714

12200032020 has 192 divisors, whose sum is σ = 38589530112. Its totient is φ = 2853120000.

The previous prime is 12200032007. The next prime is 12200032057. The reversal of 12200032020 is 2023000221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12200031987 and 12200032005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8203717 + ... + 8205203.

It is an arithmetic number, because the mean of its divisors is an integer number (200987136).

Almost surely, 212200032020 is an apocalyptic number.

12200032020 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 12200032020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19294765056).

12200032020 is an abundant number, since it is smaller than the sum of its proper divisors (26389498092).

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

12200032020 is a wasteful number, since it uses less digits than its factorization.

12200032020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 12200032020 its reverse (2023000221), we get a palindrome (14223032241).

The spelling of 12200032020 in words is "twelve billion, two hundred million, thirty-two thousand, twenty".