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12021022102200 = 23352192157135327
BaseRepresentation
bin1010111011101101110011…
…0000001001001010111000
31120120012100200212112200020
42232323130300021022320
53033423023124232300
641322214210410440
72350330063643136
oct256733460111270
946505320775606
1012021022102200
1139150a5653391
121421907b90a20
13692767a72907
142d7b6b926756
1515ca637868a0
hexaeedcc092b8

12021022102200 has 288 divisors, whose sum is σ = 39355869634560. Its totient is φ = 3034870790400.

The previous prime is 12021022102093. The next prime is 12021022102207. The reversal of 12021022102200 is 220122012021.

12021022102200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 12021022102200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12021022102207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 340260937 + ... + 340296263.

It is an arithmetic number, because the mean of its divisors is an integer number (136652325120).

Almost surely, 212021022102200 is an apocalyptic number.

12021022102200 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 12021022102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19677934817280).

12021022102200 is an abundant number, since it is smaller than the sum of its proper divisors (27334847532360).

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

12021022102200 is a wasteful number, since it uses less digits than its factorization.

12021022102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36955 (or 36927 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12021022102200 its reverse (220122012021), we get a palindrome (12241144114221).

The spelling of 12021022102200 in words is "twelve trillion, twenty-one billion, twenty-two million, one hundred two thousand, two hundred".