120020212000000 has 504 divisors, whose sum is σ = 333620842879800. Its totient is φ = 42786508800000.

The previous prime is 120020211999953. The next prime is 120020212000009. The reversal of 120020212000000 is 212020021.

It can be written as a sum of positive squares in 28 ways, for example, as 20151049176064 + 99869162823936 = 4488992^2 + 9993456^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120020212000009) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1507960206 + ... + 1508039794.

It is an arithmetic number, because the mean of its divisors is an integer number (661946116825).

Almost surely, 2^{120020212000000} is an apocalyptic number.

120020212000000 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 120020212000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166810421439900).

120020212000000 is an abundant number, since it is smaller than the sum of its proper divisors (213600630879800).

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

120020212000000 is an frugal number, since it uses more digits than its factorization.

120020212000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79677 (or 79638 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 120020212000000 its reverse (212020021), we get a palindrome (120020424020021).

The spelling of 120020212000000 in words is "one hundred twenty trillion, twenty billion, two hundred twelve million", and thus it is an aban number.