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12221220132000 = 2532531145767531
BaseRepresentation
bin1011000111010111100101…
…1111000001010010100000
31121021100002211210011222200
42301311321133001102200
53100213024323211000
641554203453133200
72400645141060405
oct261657137012240
947240084704880
1012221220132000
113991a99181280
121454679a8a200
136a85c1109389
143037200362ac
15162d7e2c6500
hexb1d797c14a0

12221220132000 has 576 divisors, whose sum is σ = 47420358830208. Its totient is φ = 2956193280000.

The previous prime is 12221220131959. The next prime is 12221220132001. The reversal of 12221220132000 is 23102212221.

12221220132000 is a `hidden beast` number, since 1 + 222 + 122 + 0 + 1 + 320 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12221220132001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 180938235 + ... + 181005765.

It is an arithmetic number, because the mean of its divisors is an integer number (82327011858).

Almost surely, 212221220132000 is an apocalyptic number.

12221220132000 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 12221220132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23710179415104).

12221220132000 is an abundant number, since it is smaller than the sum of its proper divisors (35199138698208).

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

12221220132000 is a wasteful number, since it uses less digits than its factorization.

12221220132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68030 (or 68009 counting only the distinct ones).

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

Adding to 12221220132000 its reverse (23102212221), we get a palindrome (12244322344221).

The spelling of 12221220132000 in words is "twelve trillion, two hundred twenty-one billion, two hundred twenty million, one hundred thirty-two thousand".