120406200 has 96 divisors (see below), whose sum is σ = 378510000. Its totient is φ = 31656960.

The previous prime is 120406171. The next prime is 120406207. The reversal of 120406200 is 2604021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120406200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120406207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42426 + ... + 45174.

Almost surely, 2^120406200 is an apocalyptic number.

120406200 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 120406200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189255000).

120406200 is an abundant number, since it is smaller than the sum of its proper divisors (258103800).

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

120406200 is a wasteful number, since it uses less digits than its factorization.

120406200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2841 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 120406200 is about 10972.9758953531. The cubic root of 120406200 is about 493.7983299377.

The spelling of 120406200 in words is "one hundred twenty million, four hundred six thousand, two hundred".