11012221122120 has 128 divisors (see below), whose sum is σ = 36757078128000. Its totient is φ = 2932618348800.

The previous prime is 11012221122109. The next prime is 11012221122121. The reversal of 11012221122120 is 2122112221011.

11012221122120 is a `hidden beast` number, since 110 + 122 + 211 + 221 + 2 + 0 = 666.

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 = 11012221122093 and 11012221122102.

It is not an unprimeable number, because it can be changed into a prime (11012221122121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6100731 + ... + 7696970.

It is an arithmetic number, because the mean of its divisors is an integer number (287164672875).

Almost surely, 2^{11012221122120} is an apocalyptic number.

11012221122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11012221122120 is an abundant number, since it is smaller than the sum of its proper divisors (25744857005880).

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

11012221122120 is a wasteful number, since it uses less digits than its factorization.

11012221122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13798460 (or 13798450 counting only the distinct ones).

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

Adding to 11012221122120 its reverse (2122112221011), we get a palindrome (13134333343131).

The spelling of 11012221122120 in words is "eleven trillion, twelve billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred twenty".