212122021110120 has 192 divisors, whose sum is σ = 752258620938240. Its totient is φ = 51410553638400.

The previous prime is 212122021110119. The next prime is 212122021110121. The reversal of 212122021110120 is 21011120221212.

212122021110120 is a `hidden beast` number, since 21 + 212 + 202 + 1 + 110 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (212122021110119) and next prime (212122021110121).

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 = 212122021110093 and 212122021110102.

It is not an unprimeable number, because it can be changed into a prime (212122021110121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8957850 + ... + 22460790.

It is an arithmetic number, because the mean of its divisors is an integer number (3918013650720).

Almost surely, 2^{212122021110120} is an apocalyptic number.

212122021110120 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 212122021110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376129310469120).

212122021110120 is an abundant number, since it is smaller than the sum of its proper divisors (540136599828120).

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

212122021110120 is a wasteful number, since it uses less digits than its factorization.

212122021110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13506936 (or 13506929 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212122021110120 its reverse (21011120221212), we get a palindrome (233133141331332).

It can be divided in two parts, 21212202 and 1110120, that added together give a palindrome (22322322).

The spelling of 212122021110120 in words is "two hundred twelve trillion, one hundred twenty-two billion, twenty-one million, one hundred ten thousand, one hundred twenty".