120211120000000 has 176 divisors, whose sum is σ = 300380488836480. Its totient is φ = 48084416000000.

The previous prime is 120211119999967. The next prime is 120211120000033. The reversal of 120211120000000 is 21112021.

It is an interprime number because it is at equal distance from previous prime (120211119999967) and next prime (120211120000033).

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

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 15 ways as a sum of consecutive naturals, for example, 79248681 + ... + 80751319.

Almost surely, 2^{120211120000000} is an apocalyptic number.

120211120000000 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 120211120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150190244418240).

120211120000000 is an abundant number, since it is smaller than the sum of its proper divisors (180169368836480).

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

120211120000000 is an frugal number, since it uses more digits than its factorization.

120211120000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502694 (or 1502646 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 120211120000000 its reverse (21112021), we get a palindrome (120211141112021).

The spelling of 120211120000000 in words is "one hundred twenty trillion, two hundred eleven billion, one hundred twenty million", and thus it is an aban number.