1214430100 has 72 divisors (see below), whose sum is σ = 2935983960. Its totient is φ = 432929280.

The previous prime is 1214430083. The next prime is 1214430101. The reversal of 1214430100 is 10344121.

It can be written as a sum of positive squares in 12 ways, for example, as 233111824 + 981318276 = 15268^2 + 31326^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214430101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21594 + ... + 53806.

It is an arithmetic number, because the mean of its divisors is an integer number (40777555).

Almost surely, 2^1214430100 is an apocalyptic number.

1214430100 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 1214430100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467991980).

1214430100 is an abundant number, since it is smaller than the sum of its proper divisors (1721553860).

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

1214430100 is a wasteful number, since it uses less digits than its factorization.

1214430100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32269 (or 32262 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1214430100 is about 34848.6742932927. The cubic root of 1214430100 is about 1066.9011279304.

Adding to 1214430100 its reverse (10344121), we get a palindrome (1224774221).

The spelling of 1214430100 in words is "one billion, two hundred fourteen million, four hundred thirty thousand, one hundred".