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12011210000220 = 223519293116531789
BaseRepresentation
bin1010111011001001001111…
…1001111100011101011100
31120112021000212200010011210
42232302103321330131130
53033242424230001340
641313512415144420
72346531660312624
oct256622371743534
946467025603153
1012011210000220
113910a1aa059a2
12141ba29b15110
13691862c93202
142d74ba715884
1515c68c142180
hexaec93e7c75c

12011210000220 has 384 divisors, whose sum is σ = 36816788736000. Its totient is φ = 2914253475840.

The previous prime is 12011210000219. The next prime is 12011210000233. The reversal of 12011210000220 is 2200001211021.

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

It is a junction number, because it is equal to n+sod(n) for n = 12011210000196 and 12011210000205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6713923086 + ... + 6713924874.

It is an arithmetic number, because the mean of its divisors is an integer number (95877054000).

Almost surely, 212011210000220 is an apocalyptic number.

12011210000220 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 12011210000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18408394368000).

12011210000220 is an abundant number, since it is smaller than the sum of its proper divisors (24805578735780).

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

12011210000220 is a wasteful number, since it uses less digits than its factorization.

12011210000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2813 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12011210000220 its reverse (2200001211021), we get a palindrome (14211211211241).

The spelling of 12011210000220 in words is "twelve trillion, eleven billion, two hundred ten million, two hundred twenty", and thus it is an aban number.