354210240120 has 256 divisors, whose sum is σ = 1173387962880. Its totient is φ = 84824064000.

The previous prime is 354210240053. The next prime is 354210240229. The reversal of 354210240120 is 21042012453.

It is a super-3 number, since 3×354210240120³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76949739 + ... + 76954341.

It is an arithmetic number, because the mean of its divisors is an integer number (4583546730).

Almost surely, 2^354210240120 is an apocalyptic number.

354210240120 is a gapful number since it is divisible by the number (30) 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 354210240120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586693981440).

354210240120 is an abundant number, since it is smaller than the sum of its proper divisors (819177722760).

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

354210240120 is a wasteful number, since it uses less digits than its factorization.

354210240120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5326 (or 5322 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 354210240120 its reverse (21042012453), we get a palindrome (375252252573).

The spelling of 354210240120 in words is "three hundred fifty-four billion, two hundred ten million, two hundred forty thousand, one hundred twenty".