120112213200 has 480 divisors, whose sum is σ = 448222454784. Its totient is φ = 26927493120.

The previous prime is 120112213163. The next prime is 120112213259. The reversal of 120112213200 is 2312211021.

120112213200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×120112213200³ (a number of 34 digits) contains 333 as substring.

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 120112213200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 257199367 + ... + 257199833.

Almost surely, 2^120112213200 is an apocalyptic number.

120112213200 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 120112213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224111227392).

120112213200 is an abundant number, since it is smaller than the sum of its proper divisors (328110241584).

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

120112213200 is a wasteful number, since it uses less digits than its factorization.

120112213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 120112213200 its reverse (2312211021), we get a palindrome (122424424221).

The spelling of 120112213200 in words is "one hundred twenty billion, one hundred twelve million, two hundred thirteen thousand, two hundred".