351145205254120 has 128 divisors (see below), whose sum is σ = 817868950778880. Its totient is φ = 135591547392000.

The previous prime is 351145205254117. The next prime is 351145205254141. The reversal of 351145205254120 is 21452502541153.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207096180 + ... + 208784860.

It is an arithmetic number, because the mean of its divisors is an integer number (6389601177960).

Almost surely, 2^{351145205254120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351145205254120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408934475389440).

351145205254120 is an abundant number, since it is smaller than the sum of its proper divisors (466723745524760).

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

351145205254120 is a wasteful number, since it uses less digits than its factorization.

351145205254120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690067 (or 1690063 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 40.

Adding to 351145205254120 its reverse (21452502541153), we get a palindrome (372597707795273).

The spelling of 351145205254120 in words is "three hundred fifty-one trillion, one hundred forty-five billion, two hundred five million, two hundred fifty-four thousand, one hundred twenty".