345221122400 has 144 divisors (see below), whose sum is σ = 1050727749120. Its totient is φ = 107601369600.

The previous prime is 345221122381. The next prime is 345221122417. The reversal of 345221122400 is 4221122543.

It is a super-2 number, since 2×345221122400² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 345221122400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2740520 + ... + 2863719.

It is an arithmetic number, because the mean of its divisors is an integer number (7296720480).

Almost surely, 2^345221122400 is an apocalyptic number.

It is an amenable number.

345221122400 is an abundant number, since it is smaller than the sum of its proper divisors (705506626720).

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

345221122400 is a wasteful number, since it uses less digits than its factorization.

345221122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5604277 (or 5604264 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 345221122400 its reverse (4221122543), we get a palindrome (349442244943).

The spelling of 345221122400 in words is "three hundred forty-five billion, two hundred twenty-one million, one hundred twenty-two thousand, four hundred".