3213121200 has 120 divisors (see below), whose sum is σ = 10356474048. Its totient is φ = 851523840.

The previous prime is 3213121189. The next prime is 3213121253. The reversal of 3213121200 is 21213123.

3213121200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3213121200.

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, 187387 + ... + 203813.

Almost surely, 2^3213121200 is an apocalyptic number.

3213121200 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 3213121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5178237024).

3213121200 is an abundant number, since it is smaller than the sum of its proper divisors (7143352848).

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

3213121200 is a wasteful number, since it uses less digits than its factorization.

3213121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16611 (or 16600 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 3213121200 is about 56684.3999703622. The cubic root of 3213121200 is about 1475.6239742466.

Adding to 3213121200 its reverse (21213123), we get a palindrome (3234334323).

The spelling of 3213121200 in words is "three billion, two hundred thirteen million, one hundred twenty-one thousand, two hundred".