20001002121120 has 48 divisors (see below), whose sum is σ = 63003156683040. Its totient is φ = 5333600565504.

The previous prime is 20001002121119. The next prime is 20001002121131. The reversal of 20001002121120 is 2112120010002.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 20001002121096 and 20001002121105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20834376730 + ... + 20834377689.

It is an arithmetic number, because the mean of its divisors is an integer number (1312565764230).

Almost surely, 2^{20001002121120} is an apocalyptic number.

20001002121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20001002121120 is an abundant number, since it is smaller than the sum of its proper divisors (43002154561920).

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

20001002121120 is a wasteful number, since it uses less digits than its factorization.

20001002121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41668754437 (or 41668754429 counting only the distinct ones).

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

Adding to 20001002121120 its reverse (2112120010002), we get a palindrome (22113122131122).

The spelling of 20001002121120 in words is "twenty trillion, one billion, two million, one hundred twenty-one thousand, one hundred twenty".