20001002201220 has 384 divisors, whose sum is σ = 61019068723200. Its totient is φ = 4877791488000.

The previous prime is 20001002201137. The next prime is 20001002201293. The reversal of 20001002201220 is 2210220010002.

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

It is a junction number, because it is equal to n+sod(n) for n = 20001002201196 and 20001002201205.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7522000251 + ... + 7522002909.

It is an arithmetic number, because the mean of its divisors is an integer number (158903824800).

Almost surely, 2^{20001002201220} is an apocalyptic number.

20001002201220 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 20001002201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30509534361600).

20001002201220 is an abundant number, since it is smaller than the sum of its proper divisors (41018066521980).

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

20001002201220 is a wasteful number, since it uses less digits than its factorization.

20001002201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4059 (or 4057 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20001002201220 its reverse (2210220010002), we get a palindrome (22211222211222).

The spelling of 20001002201220 in words is "twenty trillion, one billion, two million, two hundred one thousand, two hundred twenty".