120034200 has 192 divisors, whose sum is σ = 437472000. Its totient is φ = 26841600.

The previous prime is 120034133. The next prime is 120034207. The reversal of 120034200 is 2430021.

It is a super-3 number, since 3×120034200³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120034207) 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, 85101 + ... + 86499.

It is an arithmetic number, because the mean of its divisors is an integer number (2278500).

Almost surely, 2^120034200 is an apocalyptic number.

120034200 is a gapful number since it is divisible by the number (10) 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 120034200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218736000).

120034200 is an abundant number, since it is smaller than the sum of its proper divisors (317437800).

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

120034200 is a wasteful number, since it uses less digits than its factorization.

120034200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 120034200 is about 10956.0120481861. The cubic root of 120034200 is about 493.2892684447.

Adding to 120034200 its reverse (2430021), we get a palindrome (122464221).

The spelling of 120034200 in words is "one hundred twenty million, thirty-four thousand, two hundred".