122010020112000 has 256 divisors, whose sum is σ = 405966840364800. Its totient is φ = 32415050240000.

The previous prime is 122010020111839. The next prime is 122010020112007. The reversal of 122010020112000 is 211020010221.

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

It is not an unprimeable number, because it can be changed into a prime (122010020112007) 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, 8187325 + ... + 17636675.

It is an arithmetic number, because the mean of its divisors is an integer number (1585807970175).

Almost surely, 2^{122010020112000} is an apocalyptic number.

122010020112000 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 122010020112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202983420182400).

122010020112000 is an abundant number, since it is smaller than the sum of its proper divisors (283956820252800).

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

122010020112000 is an equidigital number, since it uses as much as digits as its factorization.

122010020112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9449652 (or 9449630 counting only the distinct ones).

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

Adding to 122010020112000 its reverse (211020010221), we get a palindrome (122221040122221).

The spelling of 122010020112000 in words is "one hundred twenty-two trillion, ten billion, twenty million, one hundred twelve thousand".