120212212211010 has 24 divisors (see below), whose sum is σ = 312551751748860. Its totient is φ = 32056589922912.

The previous prime is 120212212210973. The next prime is 120212212211011. The reversal of 120212212211010 is 10112212212021.

120212212211010 is a `hidden beast` number, since 1 + 20 + 212 + 212 + 211 + 0 + 10 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 115849423375569 + 4362788835441 = 10763337^2 + 2088729^2 .

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

It is not an unprimeable number, because it can be changed into a prime (120212212211011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 667845623305 + ... + 667845623484.

Almost surely, 2^{120212212211010} is an apocalyptic number.

120212212211010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120212212211010 is an abundant number, since it is smaller than the sum of its proper divisors (192339539537850).

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

120212212211010 is a wasteful number, since it uses less digits than its factorization.

120212212211010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335691246802 (or 1335691246799 counting only the distinct ones).

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

Adding to 120212212211010 its reverse (10112212212021), we get a palindrome (130324424423031).

The spelling of 120212212211010 in words is "one hundred twenty trillion, two hundred twelve billion, two hundred twelve million, two hundred eleven thousand, ten".