212001121001120 has 192 divisors, whose sum is σ = 561433323257856. Its totient is φ = 74988181140480.

The previous prime is 212001121001093. The next prime is 212001121001141. The reversal of 212001121001120 is 21100121100212.

It is a super-2 number, since 2×212001121001120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212001121001095 and 212001121001104.

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 31 ways as a sum of consecutive naturals, for example, 5621777 + ... + 21344943.

It is an arithmetic number, because the mean of its divisors is an integer number (2924131891968).

Almost surely, 2^{212001121001120} is an apocalyptic number.

212001121001120 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 212001121001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280716661628928).

212001121001120 is an abundant number, since it is smaller than the sum of its proper divisors (349432202256736).

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

212001121001120 is a wasteful number, since it uses less digits than its factorization.

212001121001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15723403 (or 15723395 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 212001121001120 its reverse (21100121100212), we get a palindrome (233101242101332).

The spelling of 212001121001120 in words is "two hundred twelve trillion, one billion, one hundred twenty-one million, one thousand, one hundred twenty".