20121122101200 has 120 divisors (see below), whose sum is σ = 64722108787776. Its totient is φ = 5343368448000.

The previous prime is 20121122101111. The next prime is 20121122101207. The reversal of 20121122101200 is 210122112102.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×20121122101200² (a number of 27 digits) contains 22 as substring.

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 20121122101200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121122101207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34498356 + ... + 35076755.

Almost surely, 2^{20121122101200} is an apocalyptic number.

20121122101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121122101200 is an abundant number, since it is smaller than the sum of its proper divisors (44600986686576).

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

20121122101200 is a wasteful number, since it uses less digits than its factorization.

20121122101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69575373 (or 69575362 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 20121122101200 its reverse (210122112102), we get a palindrome (20331244213302).

The spelling of 20121122101200 in words is "twenty trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred one thousand, two hundred".