35200405120 has 32 divisors (see below), whose sum is σ = 84150970020. Its totient is φ = 14080161792.

The previous prime is 35200405103. The next prime is 35200405133. The reversal of 35200405120 is 2150400253.

It can be written as a sum of positive squares in 2 ways, for example, as 32420163136 + 2780241984 = 180056^2 + 52728^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×35200405120² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 35200405091 and 35200405100.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 27499677 + ... + 27500956.

Almost surely, 2^35200405120 is an apocalyptic number.

It is an amenable number.

35200405120 is an abundant number, since it is smaller than the sum of its proper divisors (48950564900).

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

35200405120 is an equidigital number, since it uses as much as digits as its factorization.

35200405120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55000652 (or 55000640 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

Adding to 35200405120 its reverse (2150400253), we get a palindrome (37350805373).

The spelling of 35200405120 in words is "thirty-five billion, two hundred million, four hundred five thousand, one hundred twenty".