1205424100 has 72 divisors (see below), whose sum is σ = 2778525288. Its totient is φ = 452352000.

The previous prime is 1205424071. The next prime is 1205424131. The reversal of 1205424100 is 14245021.

It can be written as a sum of positive squares in 12 ways, for example, as 397045476 + 808378624 = 19926^2 + 28432^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 633150 + ... + 635050.

It is an arithmetic number, because the mean of its divisors is an integer number (38590629).

Almost surely, 2^1205424100 is an apocalyptic number.

1205424100 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 1205424100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389262644).

1205424100 is an abundant number, since it is smaller than the sum of its proper divisors (1573101188).

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

1205424100 is a wasteful number, since it uses less digits than its factorization.

1205424100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2305 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 1205424100 is about 34719.2180211479. The cubic root of 1205424100 is about 1064.2572646137.

Adding to 1205424100 its reverse (14245021), we get a palindrome (1219669121).

The spelling of 1205424100 in words is "one billion, two hundred five million, four hundred twenty-four thousand, one hundred".