122021011200000 has 576 divisors, whose sum is σ = 443576816766720. Its totient is φ = 29580800000000.

The previous prime is 122021011199999. The next prime is 122021011200007. The reversal of 122021011200000 is 2110120221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122021011200007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210911125 + ... + 211488875.

It is an arithmetic number, because the mean of its divisors is an integer number (770098640220).

Almost surely, 2^{122021011200000} is an apocalyptic number.

122021011200000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122021011200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221788408383360).

122021011200000 is an abundant number, since it is smaller than the sum of its proper divisors (321555805566720).

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

122021011200000 is an frugal number, since it uses more digits than its factorization.

122021011200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577812 (or 577772 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122021011200000 its reverse (2110120221), we get a palindrome (122023121320221).

The spelling of 122021011200000 in words is "one hundred twenty-two trillion, twenty-one billion, eleven million, two hundred thousand".