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12200220120000 = 263541124138351
BaseRepresentation
bin1011000110001001010111…
…0010010101001111000000
31121012022220022120001011110
42301202111302111033000
53044342022322320000
641540412002043320
72366302553652543
oct261422562251700
947168808501143
1012200220120000
1139840a2220460
121450599049540
136a66254bbc83
143026caddc85a
15162550875850
hexb1895c953c0

12200220120000 has 560 divisors, whose sum is σ = 44187494275584. Its totient is φ = 2945280000000.

The previous prime is 12200220119981. The next prime is 12200220120007. The reversal of 12200220120000 is 2102200221.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200220120007) 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 79 ways as a sum of consecutive naturals, for example, 318100825 + ... + 318139175.

Almost surely, 212200220120000 is an apocalyptic number.

12200220120000 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 12200220120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22093747137792).

12200220120000 is an abundant number, since it is smaller than the sum of its proper divisors (31987274155584).

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

12200220120000 is a wasteful number, since it uses less digits than its factorization.

12200220120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38638 (or 38613 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12200220120000 its reverse (2102200221), we get a palindrome (12202322320221).

The spelling of 12200220120000 in words is "twelve trillion, two hundred billion, two hundred twenty million, one hundred twenty thousand".