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12200232000000 = 2935611371249
BaseRepresentation
bin1011000110001001011001…
…1111101001101000000000
31121012022221010220121110110
42301202112133221220000
53044342033343000000
641540413104431320
72366303056642242
oct261422637515000
947168833817413
1012200232000000
1139840a89a5040
1214505a1018540
136a6627abb465
143026cc812092
15162551920850
hexb18967e9a00

12200232000000 has 1120 divisors, whose sum is σ = 45554885640000. Its totient is φ = 2875392000000.

The previous prime is 12200231999981. The next prime is 12200232000001. The reversal of 12200232000000 is 23200221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 12200232000000.

It is not an unprimeable number, because it can be changed into a prime (12200232000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 9767999376 + ... + 9768000624.

Almost surely, 212200232000000 is an apocalyptic number.

12200232000000 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 12200232000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22777442820000).

12200232000000 is an abundant number, since it is smaller than the sum of its proper divisors (33354653640000).

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

12200232000000 is an frugal number, since it uses more digits than its factorization.

12200232000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 12200232000000 its reverse (23200221), we get a palindrome (12200255200221).

The spelling of 12200232000000 in words is "twelve trillion, two hundred billion, two hundred thirty-two million", and thus it is an aban number.