212121002220120 has 512 divisors, whose sum is σ = 843665891328000. Its totient is φ = 46351907458560.

The previous prime is 212121002220103. The next prime is 212121002220181. The reversal of 212121002220120 is 21022200121212.

It is a happy number.

212121002220120 is a `hidden beast` number, since 212 + 1 + 210 + 0 + 2 + 220 + 1 + 20 = 666.

It is a super-3 number, since 3×212121002220120³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212121002220093 and 212121002220102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 325003471 + ... + 325655489.

It is an arithmetic number, because the mean of its divisors is an integer number (1647784944000).

Almost surely, 2^{212121002220120} is an apocalyptic number.

212121002220120 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 212121002220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421832945664000).

212121002220120 is an abundant number, since it is smaller than the sum of its proper divisors (631544889107880).

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

212121002220120 is a wasteful number, since it uses less digits than its factorization.

212121002220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653940 (or 653930 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212121002220120 its reverse (21022200121212), we get a palindrome (233143202341332).

The spelling of 212121002220120 in words is "two hundred twelve trillion, one hundred twenty-one billion, two million, two hundred twenty thousand, one hundred twenty".