235214514120000 has 560 divisors, whose sum is σ = 792104049316800. Its totient is φ = 61563371520000.

The previous prime is 235214514119993. The next prime is 235214514120029. The reversal of 235214514120000 is 21415412532.

235214514120000 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 (30).

It is a self number, because there is not a number n which added to its sum of digits gives 235214514120000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4538254086 + ... + 4538305914.

Almost surely, 2^{235214514120000} is an apocalyptic number.

235214514120000 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 235214514120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396052024658400).

235214514120000 is an abundant number, since it is smaller than the sum of its proper divisors (556889535196800).

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

235214514120000 is an equidigital number, since it uses as much as digits as its factorization.

235214514120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52564 (or 52539 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 235214514120000 its reverse (21415412532), we get a palindrome (235235929532532).

The spelling of 235214514120000 in words is "two hundred thirty-five trillion, two hundred fourteen billion, five hundred fourteen million, one hundred twenty thousand".