234114122000 has 240 divisors, whose sum is σ = 626667604992. Its totient is φ = 83893600000.

The previous prime is 234114121973. The next prime is 234114122029. The reversal of 234114122000 is 221411432.

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

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 47 ways as a sum of consecutive naturals, for example, 110900945 + ... + 110903055.

Almost surely, 2^234114122000 is an apocalyptic number.

234114122000 is a gapful number since it is divisible by the number (20) 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 234114122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313333802496).

234114122000 is an abundant number, since it is smaller than the sum of its proper divisors (392553482992).

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

234114122000 is a wasteful number, since it uses less digits than its factorization.

234114122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2287 (or 2200 counting only the distinct ones).

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

Adding to 234114122000 its reverse (221411432), we get a palindrome (234335533432).

The spelling of 234114122000 in words is "two hundred thirty-four billion, one hundred fourteen million, one hundred twenty-two thousand".