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12020022220200 = 23352171192398837
BaseRepresentation
bin1010111011101010000100…
…1001111001010110101000
31120120002210000102021102120
42232322201021321112220
53033414001142021300
641321531051431240
72350263233043231
oct256724111712650
946502700367376
1012020022220200
113914732200225
121421689155520
13692638877367
142d7ab4c0a088
1515ca05aca3a0
hexaeea12795a8

12020022220200 has 192 divisors, whose sum is σ = 39457663565760. Its totient is φ = 3016506347520.

The previous prime is 12020022220163. The next prime is 12020022220231. The reversal of 12020022220200 is 202222002021.

12020022220200 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 12020022220200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121565182 + ... + 121664018.

It is an arithmetic number, because the mean of its divisors is an integer number (205508664405).

Almost surely, 212020022220200 is an apocalyptic number.

12020022220200 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 12020022220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19728831782880).

12020022220200 is an abundant number, since it is smaller than the sum of its proper divisors (27437641345560).

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

12020022220200 is a wasteful number, since it uses less digits than its factorization.

12020022220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110796 (or 110787 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 12020022220200 its reverse (202222002021), we get a palindrome (12222244222221).

The spelling of 12020022220200 in words is "twelve trillion, twenty billion, twenty-two million, two hundred twenty thousand, two hundred".