355122000 has 240 divisors, whose sum is σ = 1258617360. Its totient is φ = 93312000.

The previous prime is 355121999. The next prime is 355122007. The reversal of 355122000 is 221553.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 198471744 + 156650256 = 14088^2 + 12516^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×355122000² = 252223269768000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355122007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1961910 + ... + 1962090.

It is an arithmetic number, because the mean of its divisors is an integer number (5244239).

Almost surely, 2^355122000 is an apocalyptic number.

355122000 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 355122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629308680).

355122000 is an abundant number, since it is smaller than the sum of its proper divisors (903495360).

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

355122000 is a wasteful number, since it uses less digits than its factorization.

355122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 355122000 is about 18844.6809471532. The cubic root of 355122000 is about 708.1509780484.

Adding to 355122000 its reverse (221553), we get a palindrome (355343553).

The spelling of 355122000 in words is "three hundred fifty-five million, one hundred twenty-two thousand".