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12220011212100 = 223523718117093559
BaseRepresentation
bin1011000111010011000101…
…1011010110110101000100
31121021012222120222200122120
42301310301123112311010
53100203040332241400
641553443505525540
72400603161321526
oct261646133266504
947235876880576
1012220011212100
11399152883291a
1214543a10438b0
136a845a810b63
14303647663a16
15162d0d0c7ca0
hexb1d316d6d44

12220011212100 has 288 divisors, whose sum is σ = 36544398508800. Its totient is φ = 3150349977600.

The previous prime is 12220011212089. The next prime is 12220011212173. The reversal of 12220011212100 is 121211002221.

12220011212100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122200112121002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12220011212100.

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, 3433550121 + ... + 3433553679.

It is an arithmetic number, because the mean of its divisors is an integer number (126890272600).

Almost surely, 212220011212100 is an apocalyptic number.

12220011212100 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 12220011212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18272199254400).

12220011212100 is an abundant number, since it is smaller than the sum of its proper divisors (24324387296700).

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

12220011212100 is a wasteful number, since it uses less digits than its factorization.

12220011212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5503 (or 5496 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12220011212100 its reverse (121211002221), we get a palindrome (12341222214321).

The spelling of 12220011212100 in words is "twelve trillion, two hundred twenty billion, eleven million, two hundred twelve thousand, one hundred".