20122121201000 has 512 divisors, whose sum is σ = 59391248716800. Its totient is φ = 6210589593600.

The previous prime is 20122121200999. The next prime is 20122121201003. The reversal of 20122121201000 is 10212122102.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (20122121201003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2774313374 + ... + 2774320626.

It is an arithmetic number, because the mean of its divisors is an integer number (115998532650).

Almost surely, 2^{20122121201000} is an apocalyptic number.

20122121201000 is a gapful number since it is divisible by the number (20) 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 20122121201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29695624358400).

20122121201000 is an abundant number, since it is smaller than the sum of its proper divisors (39269127515800).

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

20122121201000 is a wasteful number, since it uses less digits than its factorization.

20122121201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8046 (or 8032 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20122121201000 its reverse (10212122102), we get a palindrome (20132333323102).

The spelling of 20122121201000 in words is "twenty trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred one thousand".