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12223200000000 = 21135811463
BaseRepresentation
bin1011000111011110111101…
…1111100111100000000000
31121021112012211020220022010
42301313233133213200000
53100231103200000000
641555132140412520
72401045201503333
oct261675737474000
947245184226263
1012223200000000
113992914818420
121454b30b47140
136a88483551c2
1430386ad7061a
15162e4800dd50
hexb1def7e7800

12223200000000 has 864 divisors, whose sum is σ = 44533102199040. Its totient is φ = 2956800000000.

The previous prime is 12223199999993. The next prime is 12223200000023. The reversal of 12223200000000 is 232221.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26399999769 + ... + 26400000231.

It is an arithmetic number, because the mean of its divisors is an integer number (51542942360).

Almost surely, 212223200000000 is an apocalyptic number.

12223200000000 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 12223200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22266551099520).

12223200000000 is an abundant number, since it is smaller than the sum of its proper divisors (32309902199040).

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

12223200000000 is an frugal number, since it uses more digits than its factorization.

12223200000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 484 counting only the distinct ones).

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

Adding to 12223200000000 its reverse (232221), we get a palindrome (12223200232221).

The spelling of 12223200000000 in words is "twelve trillion, two hundred twenty-three billion, two hundred million", and thus it is an aban number.