3120001200 has 240 divisors, whose sum is σ = 11464345600. Its totient is φ = 805075200.

The previous prime is 3120001189. The next prime is 3120001207. The reversal of 3120001200 is 21000213.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (3120001207) 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, 330141 + ... + 339459.

Almost surely, 2^3120001200 is an apocalyptic number.

3120001200 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 3120001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5732172800).

3120001200 is an abundant number, since it is smaller than the sum of its proper divisors (8344344400).

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

3120001200 is a wasteful number, since it uses less digits than its factorization.

3120001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9377 (or 9360 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 3120001200 is about 55856.9709167978. The cubic root of 3120001200 is about 1461.2289021496.

Adding to 3120001200 its reverse (21000213), we get a palindrome (3141001413).

The spelling of 3120001200 in words is "three billion, one hundred twenty million, one thousand, two hundred".