122010201201000 has 256 divisors, whose sum is σ = 435071794360320. Its totient is φ = 27886874400000.

The previous prime is 122010201200933. The next prime is 122010201201013. The reversal of 122010201201000 is 102102010221.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 561242325 + ... + 561459675.

It is an arithmetic number, because the mean of its divisors is an integer number (1699499196720).

Almost surely, 2^{122010201201000} is an apocalyptic number.

122010201201000 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 122010201201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217535897180160).

122010201201000 is an abundant number, since it is smaller than the sum of its proper divisors (313061593159320).

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

122010201201000 is a wasteful number, since it uses less digits than its factorization.

122010201201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244113 (or 244099 counting only the distinct ones).

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

Adding to 122010201201000 its reverse (102102010221), we get a palindrome (122112303211221).

The spelling of 122010201201000 in words is "one hundred twenty-two trillion, ten billion, two hundred one million, two hundred one thousand".