20331022122000 has 480 divisors, whose sum is σ = 71628431486976. Its totient is φ = 5374547328000.

The previous prime is 20331022121923. The next prime is 20331022122071. The reversal of 20331022122000 is 22122013302.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1007323909 + ... + 1007344091.

Almost surely, 2^{20331022122000} is an apocalyptic number.

20331022122000 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 20331022122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35814215743488).

20331022122000 is an abundant number, since it is smaller than the sum of its proper divisors (51297409364976).

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

20331022122000 is a wasteful number, since it uses less digits than its factorization.

20331022122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20696 (or 20677 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20331022122000 its reverse (22122013302), we get a palindrome (20353144135302).

The spelling of 20331022122000 in words is "twenty trillion, three hundred thirty-one billion, twenty-two million, one hundred twenty-two thousand".