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12221002002220 = 225112321314011999
BaseRepresentation
bin1011000111010110110001…
…1110111010111100101100
31121021022112122100001011221
42301311230132322330230
53100212103003032340
641554130101553124
72400636552023464
oct261655436727454
947238478301157
1012221002002220
113991997036130
121454618a157a4
136a8587b74cbb
143036dd094ba4
15162d6a08a44a
hexb1d6c7baf2c

12221002002220 has 288 divisors, whose sum is σ = 29579147136000. Its totient is φ = 4205710080000.

The previous prime is 12221002002217. The next prime is 12221002002241. The reversal of 12221002002220 is 2220020012221.

It is a junction number, because it is equal to n+sod(n) for n = 12221002002194 and 12221002002203.

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, 6113556781 + ... + 6113558779.

It is an arithmetic number, because the mean of its divisors is an integer number (102705372000).

Almost surely, 212221002002220 is an apocalyptic number.

12221002002220 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 12221002002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14789573568000).

12221002002220 is an abundant number, since it is smaller than the sum of its proper divisors (17358145133780).

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

12221002002220 is a wasteful number, since it uses less digits than its factorization.

12221002002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2597 (or 2572 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12221002002220 its reverse (2220020012221), we get a palindrome (14441022014441).

The spelling of 12221002002220 in words is "twelve trillion, two hundred twenty-one billion, two million, two thousand, two hundred twenty".