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12212000000200 = 2352721113163193277
BaseRepresentation
bin1011000110110101001111…
…1011000000100011001000
31121020110022021110221220201
42301231103323000203020
53100040134000001300
641550040525501544
72400200513203600
oct261552373004310
947213267427821
1012212000000200
1139890976a7840
1214529261118b4
136a7781b736a0
143030c76bbc00
151629deb1566a
hexb1b53ec08c8

12212000000200 has 1152 divisors, whose sum is σ = 39384692968320. Its totient is φ = 3461352652800.

The previous prime is 12212000000177. The next prime is 12212000000203. The reversal of 12212000000200 is 200000021221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (12212000000203) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 44086642462 + ... + 44086642738.

It is an arithmetic number, because the mean of its divisors is an integer number (34188101535).

Almost surely, 212212000000200 is an apocalyptic number.

12212000000200 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 12212000000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19692346484160).

12212000000200 is an abundant number, since it is smaller than the sum of its proper divisors (27172692968120).

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

12212000000200 is a wasteful number, since it uses less digits than its factorization.

12212000000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12212000000200 its reverse (200000021221), we get a palindrome (12412000021421).

It can be divided in two parts, 12 and 212000000200, that added together give a palindrome (212000000212).

The spelling of 12212000000200 in words is "twelve trillion, two hundred twelve billion, two hundred", and thus it is an aban number.