120000211200 has 324 divisors, whose sum is σ = 429975748020. Its totient is φ = 31929384960.

The previous prime is 120000211181. The next prime is 120000211211. The reversal of 120000211200 is 2112000021.

It can be written as a sum of positive squares in 6 ways, for example, as 29419776 + 119970791424 = 5424^2 + 346368^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29316354 + ... + 29320446.

Almost surely, 2^120000211200 is an apocalyptic number.

120000211200 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 120000211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214987874010).

120000211200 is an abundant number, since it is smaller than the sum of its proper divisors (309975536820).

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

120000211200 is a wasteful number, since it uses less digits than its factorization.

120000211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4634 (or 4612 counting only the distinct ones).

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

Adding to 120000211200 its reverse (2112000021), we get a palindrome (122112211221).

The spelling of 120000211200 in words is "one hundred twenty billion, two hundred eleven thousand, two hundred".