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12212221221200 = 245271113109279817
BaseRepresentation
bin1011000110110110000100…
…0110111001100101010000
31121020110212200202011002002
42301231201012321211100
53100041112113034300
641550114511213132
72400206140434020
oct261554106714520
947213780664062
1012212221221200
1139891a0564410
1214529882171a8
136a77b894aaa0
14303108c25a80
15162a042625d5
hexb1b611b9950

12212221221200 has 480 divisors, whose sum is σ = 39754929688320. Its totient is φ = 3481358745600.

The previous prime is 12212221221169. The next prime is 12212221221241. The reversal of 12212221221200 is 212212221221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43503692 + ... + 43783508.

It is an arithmetic number, because the mean of its divisors is an integer number (82822770184).

Almost surely, 212212221221200 is an apocalyptic number.

12212221221200 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 12212221221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19877464844160).

12212221221200 is an abundant number, since it is smaller than the sum of its proper divisors (27542708467120).

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

12212221221200 is a wasteful number, since it uses less digits than its factorization.

12212221221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279975 (or 279964 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 12212221221200 its reverse (212212221221), we get a palindrome (12424433442421).

It can be divided in two parts, 12212221 and 221200, that added together give a palindrome (12433421).

The spelling of 12212221221200 in words is "twelve trillion, two hundred twelve billion, two hundred twenty-one million, two hundred twenty-one thousand, two hundred".