212011122101120 has 64 divisors (see below), whose sum is σ = 507674079964800. Its totient is φ = 84664737896448.

The previous prime is 212011122101117. The next prime is 212011122101131. The reversal of 212011122101120 is 21101221110212.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 272484155 + ... + 273261114.

It is an arithmetic number, because the mean of its divisors is an integer number (7932407499450).

Almost surely, 2^{212011122101120} is an apocalyptic number.

212011122101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212011122101120 is an abundant number, since it is smaller than the sum of its proper divisors (295662957863680).

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

212011122101120 is an equidigital number, since it uses as much as digits as its factorization.

212011122101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545745895 (or 545745883 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 212011122101120 its reverse (21101221110212), we get a palindrome (233112343211332).

The spelling of 212011122101120 in words is "two hundred twelve trillion, eleven billion, one hundred twenty-two million, one hundred one thousand, one hundred twenty".