3113001223200 has 288 divisors, whose sum is σ = 12282205763520. Its totient is φ = 754666905600.

The previous prime is 3113001223151. The next prime is 3113001223201. The reversal of 3113001223200 is 23221003113.

3113001223200 is a `hidden beast` number, since 31 + 1 + 300 + 12 + 2 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3113001223201) 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, 6313329 + ... + 6788528.

It is an arithmetic number, because the mean of its divisors is an integer number (42646547790).

Almost surely, 2^{3113001223200} is an apocalyptic number.

3113001223200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3113001223200 is an abundant number, since it is smaller than the sum of its proper divisors (9169204540320).

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

3113001223200 is a wasteful number, since it uses less digits than its factorization.

3113001223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13101897 (or 13101878 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3113001223200 its reverse (23221003113), we get a palindrome (3136222226313).

The spelling of 3113001223200 in words is "three trillion, one hundred thirteen billion, one million, two hundred twenty-three thousand, two hundred".