35122000 has 80 divisors (see below), whose sum is σ = 90007632. Its totient is φ = 13209600.

The previous prime is 35121997. The next prime is 35122007. The reversal of 35122000 is 22153.

35122000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 876096 + 34245904 = 936^2 + 5852^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35122007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33484 + ... + 34516.

Almost surely, 2^35122000 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 35122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45003816).

35122000 is an abundant number, since it is smaller than the sum of its proper divisors (54885632).

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

35122000 is a wasteful number, since it uses less digits than its factorization.

35122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 35122000 is about 5926.3816954361. The cubic root of 35122000 is about 327.4862570229.

Adding to 35122000 its reverse (22153), we get a palindrome (35144153).

The spelling of 35122000 in words is "thirty-five million, one hundred twenty-two thousand".