120211200 has 162 divisors, whose sum is σ = 429988104. Its totient is φ = 32040960.

The previous prime is 120211193. The next prime is 120211207. The reversal of 120211200 is 2112021.

It is an interprime number because it is at equal distance from previous prime (120211193) and next prime (120211207).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120211207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56557 + ... + 58643.

Almost surely, 2^120211200 is an apocalyptic number.

120211200 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 120211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214994052).

120211200 is an abundant number, since it is smaller than the sum of its proper divisors (309776904).

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

120211200 is a wasteful number, since it uses less digits than its factorization.

120211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 120211200 is about 10964.0868292804. The cubic root of 120211200 is about 493.5316141522.

Adding to 120211200 its reverse (2112021), we get a palindrome (122323221).

The spelling of 120211200 in words is "one hundred twenty million, two hundred eleven thousand, two hundred".