120120211000020 has 576 divisors, whose sum is σ = 434953269983232. Its totient is φ = 24062379264000.

The previous prime is 120120210999977. The next prime is 120120211000021. The reversal of 120120211000020 is 20000112021021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120120211000021) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2568239235 + ... + 2568286005.

It is an arithmetic number, because the mean of its divisors is an integer number (755127204832).

Almost surely, 2^{120120211000020} is an apocalyptic number.

120120211000020 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 120120211000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217476634991616).

120120211000020 is an abundant number, since it is smaller than the sum of its proper divisors (314833058983212).

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

120120211000020 is a wasteful number, since it uses less digits than its factorization.

120120211000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47520 (or 47489 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120120211000020 its reverse (20000112021021), we get a palindrome (140120323021041).

The spelling of 120120211000020 in words is "one hundred twenty trillion, one hundred twenty billion, two hundred eleven million, twenty", and thus it is an aban number.