120212000000 has 252 divisors, whose sum is σ = 307673952348. Its totient is φ = 46848000000.

The previous prime is 120211999961. The next prime is 120212000003. The reversal of 120212000000 is 212021.

It can be written as a sum of positive squares in 14 ways, for example, as 102922905856 + 17289094144 = 320816^2 + 131488^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120212000003) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 163999634 + ... + 164000366.

Almost surely, 2^120212000000 is an apocalyptic number.

120212000000 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 120212000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153836976174).

120212000000 is an abundant number, since it is smaller than the sum of its proper divisors (187461952348).

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

120212000000 is an frugal number, since it uses more digits than its factorization.

120212000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 781 counting only the distinct ones).

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

Adding to 120212000000 its reverse (212021), we get a palindrome (120212212021).

The spelling of 120212000000 in words is "one hundred twenty billion, two hundred twelve million", and thus it is an aban number.