212101120120000 has 840 divisors, whose sum is σ = 549857534865408. Its totient is φ = 81124243200000.

The previous prime is 212101120119979. The next prime is 212101120120007. The reversal of 212101120120000 is 21021101212.

212101120120000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (212101120120007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1619092519935 + ... + 1619092520065.

Almost surely, 2^{212101120120000} is an apocalyptic number.

212101120120000 is a gapful number since it is divisible by the number (20) 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 212101120120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274928767432704).

212101120120000 is an abundant number, since it is smaller than the sum of its proper divisors (337756414745408).

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

212101120120000 is an equidigital number, since it uses as much as digits as its factorization.

212101120120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 403 counting only the distinct ones).

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

Adding to 212101120120000 its reverse (21021101212), we get a palindrome (212122141221212).

The spelling of 212101120120000 in words is "two hundred twelve trillion, one hundred one billion, one hundred twenty million, one hundred twenty thousand".