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12421322100 = 223252111916569
BaseRepresentation
bin10111001000101111…
…00101010101110100
31012001122220112121200
423210113211111310
5200414324301400
65412320012500
7616545332025
oct134427452564
935048815550
1012421322100
1152a4570160
1224a7a61130
13122c530245
1485b972c4c
154ca746b00
hex2e45e5574

12421322100 has 216 divisors, whose sum is σ = 42702266880. Its totient is φ = 2995008000.

The previous prime is 12421322093. The next prime is 12421322149. The reversal of 12421322100 is 122312421.

It is a happy number.

12421322100 is a `hidden beast` number, since 1 + 2 + 421 + 32 + 210 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1887616 + ... + 1894184.

It is an arithmetic number, because the mean of its divisors is an integer number (197695680).

Almost surely, 212421322100 is an apocalyptic number.

12421322100 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 12421322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21351133440).

12421322100 is an abundant number, since it is smaller than the sum of its proper divisors (30280944780).

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

12421322100 is a wasteful number, since it uses less digits than its factorization.

12421322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6791 (or 6781 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12421322100 its reverse (122312421), we get a palindrome (12543634521).

The spelling of 12421322100 in words is "twelve billion, four hundred twenty-one million, three hundred twenty-two thousand, one hundred".