1214434100 has 144 divisors (see below), whose sum is σ = 3078927936. Its totient is φ = 410880000.

The previous prime is 1214434069. The next prime is 1214434121. The reversal of 1214434100 is 14344121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1888379 + ... + 1889021.

It is an arithmetic number, because the mean of its divisors is an integer number (21381444).

Almost surely, 2^1214434100 is an apocalyptic number.

1214434100 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 1214434100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539463968).

1214434100 is an abundant number, since it is smaller than the sum of its proper divisors (1864493836).

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

1214434100 is a wasteful number, since it uses less digits than its factorization.

1214434100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1214434100 is about 34848.7316842378. The cubic root of 1214434100 is about 1066.9022992891.

Adding to 1214434100 its reverse (14344121), we get a palindrome (1228778221).

The spelling of 1214434100 in words is "one billion, two hundred fourteen million, four hundred thirty-four thousand, one hundred".