3211145120 has 24 divisors (see below), whose sum is σ = 7586330724. Its totient is φ = 1284457984.

The previous prime is 3211145107. The next prime is 3211145129. The reversal of 3211145120 is 215411123.

It can be written as a sum of positive squares in 2 ways, for example, as 3175097104 + 36048016 = 56348^2 + 6004^2 .

It is a super-2 number, since 2×3211145120² = 20622905963399628800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3211145092 and 3211145101.

It is not an unprimeable number, because it can be changed into a prime (3211145129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10034669 + ... + 10034988.

Almost surely, 2^3211145120 is an apocalyptic number.

It is an amenable number.

3211145120 is an abundant number, since it is smaller than the sum of its proper divisors (4375185604).

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

3211145120 is a wasteful number, since it uses less digits than its factorization.

3211145120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20069672 (or 20069664 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 3211145120 is about 56666.9667443035. The cubic root of 3211145120 is about 1475.3214076953.

Adding to 3211145120 its reverse (215411123), we get a palindrome (3426556243).

The spelling of 3211145120 in words is "three billion, two hundred eleven million, one hundred forty-five thousand, one hundred twenty".