122100211120000 has 240 divisors, whose sum is σ = 322892722753920. Its totient is φ = 45967129600000.

The previous prime is 122100211119979. The next prime is 122100211120001. The reversal of 122100211120000 is 21112001221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122100211120001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 20479425 + ... + 25760575.

It is an arithmetic number, because the mean of its divisors is an integer number (1345386344808).

Almost surely, 2^{122100211120000} is an apocalyptic number.

122100211120000 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 122100211120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161446361376960).

122100211120000 is an abundant number, since it is smaller than the sum of its proper divisors (200792511633920).

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

122100211120000 is an frugal number, since it uses more digits than its factorization.

122100211120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5281219 (or 5281175 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 122100211120000 its reverse (21112001221), we get a palindrome (122121323121221).

It can be divided in two parts, 12 and 2100211120000, that added together give a palindrome (2100211120012).

The spelling of 122100211120000 in words is "one hundred twenty-two trillion, one hundred billion, two hundred eleven million, one hundred twenty thousand".