12122102020072 has 128 divisors (see below), whose sum is σ = 25822241280000. Its totient is φ = 5287052010240.

The previous prime is 12122102020037. The next prime is 12122102020073. The reversal of 12122102020072 is 27002020122121.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (12122102020073) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 59386378 + ... + 59590150.

It is an arithmetic number, because the mean of its divisors is an integer number (201736260000).

Almost surely, 2^{12122102020072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122102020072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12911120640000).

12122102020072 is an abundant number, since it is smaller than the sum of its proper divisors (13700139259928).

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

12122102020072 is a wasteful number, since it uses less digits than its factorization.

12122102020072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204111 (or 204107 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

Adding to 12122102020072 its reverse (27002020122121), we get a palindrome (39124122142193).

The spelling of 12122102020072 in words is "twelve trillion, one hundred twenty-two billion, one hundred two million, twenty thousand, seventy-two".