3412024197120 has 2688 divisors, whose sum is σ = 15874299784080. Its totient is φ = 695614832640.

The previous prime is 3412024197077. The next prime is 3412024197149. The reversal of 3412024197120 is 217914202143.

3412024197120 is a `hidden beast` number, since 34 + 1 + 202 + 419 + 7 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 64377815014 + ... + 64377815066.

Almost surely, 2^{3412024197120} is an apocalyptic number.

3412024197120 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 3412024197120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7937149892040).

3412024197120 is an abundant number, since it is smaller than the sum of its proper divisors (12462275586960).

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

3412024197120 is an frugal number, since it uses more digits than its factorization.

3412024197120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 3412024197120 its reverse (217914202143), we get a palindrome (3629938399263).

The spelling of 3412024197120 in words is "three trillion, four hundred twelve billion, twenty-four million, one hundred ninety-seven thousand, one hundred twenty".