212010222021120 has 960 divisors, whose sum is σ = 751492621170720. Its totient is φ = 55226400768000.

The previous prime is 212010222021109. The next prime is 212010222021137. The reversal of 212010222021120 is 21120222010212.

It is a happy number.

212010222021120 is a `hidden beast` number, since 212 + 0 + 1 + 0 + 2 + 220 + 211 + 20 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 52769647689984 + 159240574331136 = 7264272^2 + 12619056^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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 = 212010222021093 and 212010222021102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 132755304162 + ... + 132755305758.

Almost surely, 2^{212010222021120} is an apocalyptic number.

212010222021120 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 212010222021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375746310585360).

212010222021120 is an abundant number, since it is smaller than the sum of its proper divisors (539482399149600).

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

212010222021120 is a wasteful number, since it uses less digits than its factorization.

212010222021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457 (or 2438 counting only the distinct ones).

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

Adding to 212010222021120 its reverse (21120222010212), we get a palindrome (233130444031332).

The spelling of 212010222021120 in words is "two hundred twelve trillion, ten billion, two hundred twenty-two million, twenty-one thousand, one hundred twenty".