1200420124224 has 224 divisors, whose sum is σ = 3245933316096. Its totient is φ = 391438755840.

The previous prime is 1200420124159. The next prime is 1200420124237. The reversal of 1200420124224 is 4224210240021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1200420124194 and 1200420124203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1757569387 + ... + 1757570069.

Almost surely, 2^{1200420124224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200420124224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622966658048).

1200420124224 is an abundant number, since it is smaller than the sum of its proper divisors (2045513191872).

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

1200420124224 is a wasteful number, since it uses less digits than its factorization.

1200420124224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 1200420124224 its reverse (4224210240021), we get a palindrome (5424630364245).

The spelling of 1200420124224 in words is "one trillion, two hundred billion, four hundred twenty million, one hundred twenty-four thousand, two hundred twenty-four".