1214114100 has 72 divisors (see below), whose sum is σ = 3561022080. Its totient is φ = 319322880.

The previous prime is 1214114053. The next prime is 1214114131. The reversal of 1214114100 is 14114121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1214114100.

It is a congruent number.

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, 5820 + ... + 49619.

It is an arithmetic number, because the mean of its divisors is an integer number (49458640).

Almost surely, 2^1214114100 is an apocalyptic number.

1214114100 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 1214114100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780511040).

1214114100 is an abundant number, since it is smaller than the sum of its proper divisors (2346907980).

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

1214114100 is a wasteful number, since it uses less digits than its factorization.

1214114100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55529 (or 55522 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 1214114100 is about 34844.1401099238. The cubic root of 1214114100 is about 1066.8085824633.

Adding to 1214114100 its reverse (14114121), we get a palindrome (1228228221).

The spelling of 1214114100 in words is "one billion, two hundred fourteen million, one hundred fourteen thousand, one hundred".