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12200203311000 = 23353127199316067
BaseRepresentation
bin1011000110001001010011…
…0010001101011110011000
31121012022212010221001112220
42301202110302031132120
53044342004021423000
641540410201504040
72366302261043655
oct261422462153630
947168763831486
1012200203311000
11398409378a621
1214505934a2020
136a6621b85113
143026c8aa4c2c
1516254e1551a0
hexb1894c8d798

12200203311000 has 256 divisors, whose sum is σ = 38385994383360. Its totient is φ = 3225949977600.

The previous prime is 12200203310959. The next prime is 12200203311139. The reversal of 12200203311000 is 11330200221.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 759324967 + ... + 759341033.

It is an arithmetic number, because the mean of its divisors is an integer number (149945290560).

Almost surely, 212200203311000 is an apocalyptic number.

12200203311000 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 12200203311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19192997191680).

12200203311000 is an abundant number, since it is smaller than the sum of its proper divisors (26185791072360).

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

12200203311000 is a wasteful number, since it uses less digits than its factorization.

12200203311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18211 (or 18197 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12200203311000 its reverse (11330200221), we get a palindrome (12211533511221).

The spelling of 12200203311000 in words is "twelve trillion, two hundred billion, two hundred three million, three hundred eleven thousand".