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12321010200000 = 26355101203317
BaseRepresentation
bin1011001101001011010101…
…1011111010110111000000
31121121212200101101212200010
42303102311123322313000
53103331412102400000
642112105520424520
72411110055464305
oct263226533726700
947555611355603
1012321010200000
113a20347060357
12146ba89478140
136b4b35294ba8
143084a924b0ac
1516576ed93d50
hexb34b56fadc0

12321010200000 has 336 divisors, whose sum is σ = 41150200156128. Its totient is φ = 3253056000000.

The previous prime is 12321010199921. The next prime is 12321010200013. The reversal of 12321010200000 is 201012321.

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 47 ways as a sum of consecutive naturals, for example, 60498342 + ... + 60701658.

It is an arithmetic number, because the mean of its divisors is an integer number (122470833798).

Almost surely, 212321010200000 is an apocalyptic number.

12321010200000 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 12321010200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20575100078064).

12321010200000 is an abundant number, since it is smaller than the sum of its proper divisors (28829189956128).

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

12321010200000 is an equidigital number, since it uses as much as digits as its factorization.

12321010200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203458 (or 203428 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12321010200000 its reverse (201012321), we get a palindrome (12321211212321).

The spelling of 12321010200000 in words is "twelve trillion, three hundred twenty-one billion, ten million, two hundred thousand".