212111202201120 has 144 divisors (see below), whose sum is σ = 740662721390592. Its totient is φ = 55247568929280.

The previous prime is 212111202201091. The next prime is 212111202201193. The reversal of 212111202201120 is 21102202111212.

212111202201120 is a `hidden beast` number, since 2 + 1 + 211 + 120 + 220 + 112 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 212111202201093 and 212111202201102.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1712722336 + ... + 1712846175.

It is an arithmetic number, because the mean of its divisors is an integer number (5143491120768).

Almost surely, 2^{212111202201120} is an apocalyptic number.

212111202201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212111202201120 is an abundant number, since it is smaller than the sum of its proper divisors (528551519189472).

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

212111202201120 is a wasteful number, since it uses less digits than its factorization.

212111202201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3425568575 (or 3425568564 counting only the distinct ones).

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

Adding to 212111202201120 its reverse (21102202111212), we get a palindrome (233213404312332).

The spelling of 212111202201120 in words is "two hundred twelve trillion, one hundred eleven billion, two hundred two million, two hundred one thousand, one hundred twenty".