234120456655200 has 432 divisors, whose sum is σ = 851104021543776. Its totient is φ = 60513780326400.

The previous prime is 234120456655061. The next prime is 234120456655213. The reversal of 234120456655200 is 2556654021432.

234120456655200 is a `hidden beast` number, since 2 + 3 + 4 + 1 + 20 + 45 + 6 + 65 + 520 + 0 = 666.

234120456655200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 68392420 + ... + 71733980.

It is an arithmetic number, because the mean of its divisors is an integer number (1970148198018).

Almost surely, 2^{234120456655200} is an apocalyptic number.

234120456655200 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 234120456655200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425552010771888).

234120456655200 is an abundant number, since it is smaller than the sum of its proper divisors (616983564888576).

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

234120456655200 is a wasteful number, since it uses less digits than its factorization.

234120456655200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3341887 (or 3341871 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 234120456655200 in words is "two hundred thirty-four trillion, one hundred twenty billion, four hundred fifty-six million, six hundred fifty-five thousand, two hundred".