212202212111120 has 320 divisors, whose sum is σ = 651543529545216. Its totient is φ = 62226437898240.

The previous prime is 212202212111009. The next prime is 212202212111173. The reversal of 212202212111120 is 21111212202212.

212202212111120 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×212202212111120³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 212202212111092 and 212202212111101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 273665084 + ... + 274439396.

Almost surely, 2^{212202212111120} is an apocalyptic number.

212202212111120 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 212202212111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325771764772608).

212202212111120 is an abundant number, since it is smaller than the sum of its proper divisors (439341317434096).

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

212202212111120 is a wasteful number, since it uses less digits than its factorization.

212202212111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776978 (or 776972 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 212202212111120 its reverse (21111212202212), we get a palindrome (233313424313332).

The spelling of 212202212111120 in words is "two hundred twelve trillion, two hundred two billion, two hundred twelve million, one hundred eleven thousand, one hundred twenty".