120100211120000 has 160 divisors (see below), whose sum is σ = 303883325427000. Its totient is φ = 47252540160000.

The previous prime is 120100211119969. The next prime is 120100211120017. The reversal of 120100211120000 is 21112001021.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×120100211120000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7425350 + ... + 17185349.

Almost surely, 2^{120100211120000} is an apocalyptic number.

120100211120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120100211120000 is an abundant number, since it is smaller than the sum of its proper divisors (183783114307000).

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

120100211120000 is an frugal number, since it uses more digits than its factorization.

120100211120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24610794 (or 24610767 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 120100211120000 its reverse (21112001021), we get a palindrome (120121323121021).

The spelling of 120100211120000 in words is "one hundred twenty trillion, one hundred billion, two hundred eleven million, one hundred twenty thousand".