234120053150200 has 384 divisors, whose sum is σ = 657925981470720. Its totient is φ = 75815898163200.

The previous prime is 234120053150167. The next prime is 234120053150201. The reversal of 234120053150200 is 2051350021432.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234120053150201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 212181129 + ... + 213281671.

It is an arithmetic number, because the mean of its divisors is an integer number (1713348910080).

Almost surely, 2^{234120053150200} is an apocalyptic number.

234120053150200 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 234120053150200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328962990735360).

234120053150200 is an abundant number, since it is smaller than the sum of its proper divisors (423805928320520).

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

234120053150200 is a wasteful number, since it uses less digits than its factorization.

234120053150200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100727 (or 1100718 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The spelling of 234120053150200 in words is "two hundred thirty-four trillion, one hundred twenty billion, fifty-three million, one hundred fifty thousand, two hundred".