20122122102000 has 480 divisors, whose sum is σ = 71386480139520. Its totient is φ = 4862447884800.

The previous prime is 20122122101999. The next prime is 20122122102059. The reversal of 20122122102000 is 20122122102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60139167 + ... + 60472833.

It is an arithmetic number, because the mean of its divisors is an integer number (148721833624).

Almost surely, 2^{20122122102000} is an apocalyptic number.

20122122102000 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 20122122102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35693240069760).

20122122102000 is an abundant number, since it is smaller than the sum of its proper divisors (51264358037520).

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

20122122102000 is a wasteful number, since it uses less digits than its factorization.

20122122102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333758 (or 333719 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20122122102000 its reverse (20122122102), we get a palindrome (20142244224102).

20122122102000 divided by its reverse (20122122102) gives a cube (1000 = 10³).

The spelling of 20122122102000 in words is "twenty trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred two thousand".