1200221210120 has 128 divisors (see below), whose sum is σ = 2852585359200. Its totient is φ = 453842436096.

The previous prime is 1200221210119. The next prime is 1200221210129. The reversal of 1200221210120 is 210121220021.

It can be written as a sum of positive squares in 16 ways, for example, as 115786395076 + 1084434815044 = 340274^2 + 1041362^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1200221210095 and 1200221210104.

It is not an unprimeable number, because it can be changed into a prime (1200221210129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11549432 + ... + 11652888.

Almost surely, 2^{1200221210120} is an apocalyptic number.

1200221210120 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 1200221210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426292679600).

1200221210120 is an abundant number, since it is smaller than the sum of its proper divisors (1652364149080).

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

1200221210120 is a wasteful number, since it uses less digits than its factorization.

1200221210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103707 (or 103703 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1200221210120 its reverse (210121220021), we get a palindrome (1410342430141).

Subtracting from 1200221210120 its reverse (210121220021), we obtain a palindrome (990099990099).

The spelling of 1200221210120 in words is "one trillion, two hundred billion, two hundred twenty-one million, two hundred ten thousand, one hundred twenty".