114213000 has 128 divisors (see below), whose sum is σ = 388851840. Its totient is φ = 27680000.

The previous prime is 114212999. The next prime is 114213013. The reversal of 114213000 is 312411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31270 + ... + 34730.

It is an arithmetic number, because the mean of its divisors is an integer number (3037905).

Almost surely, 2^114213000 is an apocalyptic number.

114213000 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 114213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194425920).

114213000 is an abundant number, since it is smaller than the sum of its proper divisors (274638840).

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

114213000 is a wasteful number, since it uses less digits than its factorization.

114213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3496 (or 3482 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 114213000 is about 10687.0482360659. The cubic root of 114213000 is about 485.1825578384.

Adding to 114213000 its reverse (312411), we get a palindrome (114525411).

The spelling of 114213000 in words is "one hundred fourteen million, two hundred thirteen thousand".