4350120115200 has 132 divisors (see below), whose sum is σ = 14377373803320. Its totient is φ = 1160032010240.

The previous prime is 4350120115193. The next prime is 4350120115207. The reversal of 4350120115200 is 25110210534.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4350120115193) and next prime (4350120115207).

It is a super-2 number, since 2×4350120115200² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4350120115207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28244295 + ... + 28397894.

It is an arithmetic number, because the mean of its divisors is an integer number (108919498510).

Almost surely, 2^{4350120115200} is an apocalyptic number.

4350120115200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4350120115200 is an abundant number, since it is smaller than the sum of its proper divisors (10027253688120).

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

4350120115200 is a wasteful number, since it uses less digits than its factorization.

4350120115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56642222 (or 56642199 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 4350120115200 its reverse (25110210534), we get a palindrome (4375230325734).

The spelling of 4350120115200 in words is "four trillion, three hundred fifty billion, one hundred twenty million, one hundred fifteen thousand, two hundred".