351412221200000 has 768 divisors, whose sum is σ = 931783754210400. Its totient is φ = 131751567360000.

The previous prime is 351412221199999. The next prime is 351412221200009. The reversal of 351412221200000 is 2122214153.

It can be written as a sum of positive squares in 48 ways, for example, as 318761602378816 + 32650618821184 = 17853896^2 + 5714072^2 .

It is not an unprimeable number, because it can be changed into a prime (351412221200009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 314603599442 + ... + 314603600558.

Almost surely, 2^{351412221200000} 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 351412221200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465891877105200).

351412221200000 is an abundant number, since it is smaller than the sum of its proper divisors (580371533010400).

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

351412221200000 is an equidigital number, since it uses as much as digits as its factorization.

351412221200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 351412221200000 its reverse (2122214153), we get a palindrome (351414343414153).

The spelling of 351412221200000 in words is "three hundred fifty-one trillion, four hundred twelve billion, two hundred twenty-one million, two hundred thousand".