211120121120 has 96 divisors (see below), whose sum is σ = 500394510000. Its totient is φ = 84173746176.

The previous prime is 211120121087. The next prime is 211120121167. The reversal of 211120121120 is 21121021112.

It can be written as a sum of positive squares in 8 ways, for example, as 76616025616 + 134504095504 = 276796^2 + 366748^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211120121095 and 211120121104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76797506 + ... + 76800254.

Almost surely, 2^211120121120 is an apocalyptic number.

211120121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211120121120 is an abundant number, since it is smaller than the sum of its proper divisors (289274388880).

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

211120121120 is a wasteful number, since it uses less digits than its factorization.

211120121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4150 (or 4142 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211120121120 its reverse (21121021112), we get a palindrome (232241142232).

The spelling of 211120121120 in words is "two hundred eleven billion, one hundred twenty million, one hundred twenty-one thousand, one hundred twenty".