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12402224100 = 22325272967883
BaseRepresentation
bin10111000110011101…
…01110101111100100
31012000022222021002100
423203032232233210
5200344432132400
65410354412100
7616224110520
oct134316565744
935008867070
1012402224100
115294806592
1224a1591030
1312285a4556
14859200d80
154c8c23100
hex2e33aebe4

12402224100 has 216 divisors, whose sum is σ = 45960183360. Its totient is φ = 2737002240.

The previous prime is 12402224099. The next prime is 12402224101. The reversal of 12402224100 is 142220421.

It is an interprime number because it is at equal distance from previous prime (12402224099) and next prime (12402224101).

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

It is not an unprimeable number, because it can be changed into a prime (12402224101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 148759 + ... + 216641.

Almost surely, 212402224100 is an apocalyptic number.

12402224100 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 12402224100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22980091680).

12402224100 is an abundant number, since it is smaller than the sum of its proper divisors (33557959260).

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

12402224100 is a wasteful number, since it uses less digits than its factorization.

12402224100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67939 (or 67929 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12402224100 its reverse (142220421), we get a palindrome (12544444521).

The spelling of 12402224100 in words is "twelve billion, four hundred two million, two hundred twenty-four thousand, one hundred".