120010223200 has 144 divisors (see below), whose sum is σ = 334983497184. Its totient is φ = 41127321600.

The previous prime is 120010223191. The next prime is 120010223231. The reversal of 120010223200 is 2322010021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17810232 + ... + 17816968.

It is an arithmetic number, because the mean of its divisors is an integer number (2326274286).

Almost surely, 2^120010223200 is an apocalyptic number.

120010223200 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 120010223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167491748592).

120010223200 is an abundant number, since it is smaller than the sum of its proper divisors (214973273984).

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

120010223200 is a wasteful number, since it uses less digits than its factorization.

120010223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9945 (or 9932 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 120010223200 its reverse (2322010021), we get a palindrome (122332233221).

The spelling of 120010223200 in words is "one hundred twenty billion, ten million, two hundred twenty-three thousand, two hundred".