120213000000 has 882 divisors, whose sum is σ = 466852969518. Its totient is φ = 29548800000.

The previous prime is 120212999957. The next prime is 120213000029. The reversal of 120213000000 is 312021.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 115719710976 + 4493289024 = 340176^2 + 67032^2 .

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

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 3248999982 + ... + 3249000018.

Almost surely, 2^120213000000 is an apocalyptic number.

120213000000 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 120213000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233426484759).

120213000000 is an abundant number, since it is smaller than the sum of its proper divisors (346639969518).

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

120213000000 is an frugal number, since it uses more digits than its factorization.

120213000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 120213000000 its reverse (312021), we get a palindrome (120213312021).

The spelling of 120213000000 in words is "one hundred twenty billion, two hundred thirteen million", and thus it is an aban number.