212011011201120 has 96 divisors (see below), whose sum is σ = 685884271429728. Its totient is φ = 55008262361088.

The previous prime is 212011011201113. The next prime is 212011011201127. The reversal of 212011011201120 is 21102110110212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212011011201113) and next prime (212011011201127).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212011011201120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212011011201127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5968760709 + ... + 5968796228.

It is an arithmetic number, because the mean of its divisors is an integer number (7144627827393).

Almost surely, 2^{212011011201120} is an apocalyptic number.

212011011201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212011011201120 is an abundant number, since it is smaller than the sum of its proper divisors (473873260228608).

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

212011011201120 is a wasteful number, since it uses less digits than its factorization.

212011011201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11937556992 (or 11937556984 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 212011011201120 its reverse (21102110110212), we get a palindrome (233113121311332).

The spelling of 212011011201120 in words is "two hundred twelve trillion, eleven billion, eleven million, two hundred one thousand, one hundred twenty".