20121011001120 has 48 divisors (see below), whose sum is σ = 63381184655040. Its totient is φ = 5365602933504.

The previous prime is 20121011001097. The next prime is 20121011001139. The reversal of 20121011001120 is 2110011012102.

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 = 20121011001096 and 20121011001105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20959385980 + ... + 20959386939.

It is an arithmetic number, because the mean of its divisors is an integer number (1320441346980).

Almost surely, 2^{20121011001120} is an apocalyptic number.

20121011001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121011001120 is an abundant number, since it is smaller than the sum of its proper divisors (43260173653920).

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

20121011001120 is a wasteful number, since it uses less digits than its factorization.

20121011001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41918772937 (or 41918772929 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 20121011001120 its reverse (2110011012102), we get a palindrome (22231022013222).

The spelling of 20121011001120 in words is "twenty trillion, one hundred twenty-one billion, eleven million, one thousand, one hundred twenty".