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12221132000220 = 22325111317216310079
BaseRepresentation
bin1011000111010111010000…
…1110110100101111011100
31121021022212200221121220200
42301311310032310233130
53100212334243001340
641554151024143500
72400643021005423
oct261656416645734
947238780847820
1012221132000220
113991a534565a0
121454654467b90
136a85a8a8c8b0
143037124542ba
15162d766b8330
hexb1d743b4bdc

12221132000220 has 864 divisors, whose sum is σ = 46552679147520. Its totient is φ = 2557883473920.

The previous prime is 12221132000159. The next prime is 12221132000293. The reversal of 12221132000220 is 2200023112221.

12221132000220 is a `hidden beast` number, since 12 + 221 + 13 + 200 + 0 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12221132000193 and 12221132000202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1212529141 + ... + 1212539219.

It is an arithmetic number, because the mean of its divisors is an integer number (53880415680).

Almost surely, 212221132000220 is an apocalyptic number.

12221132000220 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 12221132000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23276339573760).

12221132000220 is an abundant number, since it is smaller than the sum of its proper divisors (34331547147300).

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

12221132000220 is a wasteful number, since it uses less digits than its factorization.

12221132000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10315 (or 10293 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12221132000220 its reverse (2200023112221), we get a palindrome (14421155112441).

The spelling of 12221132000220 in words is "twelve trillion, two hundred twenty-one billion, one hundred thirty-two million, two hundred twenty", and thus it is an aban number.