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12202122212112 = 2437231424139461
BaseRepresentation
bin1011000110010000011100…
…1010001111001100010000
31121012111210212200100000110
42301210013022033030100
53044404421241241422
641541324430321320
72366400651324600
oct261440712171420
947174725610013
1012202122212112
113984988975408
121450a2a059240
136a68695a5b71
1430282b88cc00
1516261284860c
hexb190728f310

12202122212112 has 240 divisors, whose sum is σ = 37861365717504. Its totient is φ = 3372977664000.

The previous prime is 12202122212087. The next prime is 12202122212131. The reversal of 12202122212112 is 21121222120221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 309200062 + ... + 309239522.

Almost surely, 212202122212112 is an apocalyptic number.

12202122212112 is a gapful number since it is divisible by the number (12) 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 12202122212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18930682858752).

12202122212112 is an abundant number, since it is smaller than the sum of its proper divisors (25659243505392).

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

12202122212112 is a wasteful number, since it uses less digits than its factorization.

12202122212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43758 (or 43745 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 12202122212112 its reverse (21121222120221), we get a palindrome (33323344332333).

The spelling of 12202122212112 in words is "twelve trillion, two hundred two billion, one hundred twenty-two million, two hundred twelve thousand, one hundred twelve".