1200310120224 has 72 divisors (see below), whose sum is σ = 3418001430480. Its totient is φ = 399561890688.

The previous prime is 1200310120187. The next prime is 1200310120279. The reversal of 1200310120224 is 4220210130021.

It is a happy number.

1200310120224 is a `hidden beast` number, since 12 + 0 + 0 + 310 + 120 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 1200310120197 and 1200310120206.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2607022 + ... + 3032685.

It is an arithmetic number, because the mean of its divisors is an integer number (47472242090).

Almost surely, 2^{1200310120224} is an apocalyptic number.

It is an amenable number.

1200310120224 is an abundant number, since it is smaller than the sum of its proper divisors (2217691310256).

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

1200310120224 is a wasteful number, since it uses less digits than its factorization.

1200310120224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5640462 (or 5640451 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1200310120224 its reverse (4220210130021), we get a palindrome (5420520250245).

The spelling of 1200310120224 in words is "one trillion, two hundred billion, three hundred ten million, one hundred twenty thousand, two hundred twenty-four".