12001000102120 has 32 divisors (see below), whose sum is σ = 27005758164000. Its totient is φ = 4799776408128.

The previous prime is 12001000102111. The next prime is 12001000102127. The reversal of 12001000102120 is 2120100010021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 12001000102097 and 12001000102106.

It is not an unprimeable number, because it can be changed into a prime (12001000102127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19176714 + ... + 19792633.

It is an arithmetic number, because the mean of its divisors is an integer number (843929942625).

Almost surely, 2^{12001000102120} is an apocalyptic number.

12001000102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001000102120 is an abundant number, since it is smaller than the sum of its proper divisors (15004758061880).

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

12001000102120 is a wasteful number, since it uses less digits than its factorization.

12001000102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38977057 (or 38977053 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12001000102120 its reverse (2120100010021), we get a palindrome (14121100112141).

The spelling of 12001000102120 in words is "twelve trillion, one billion, one hundred two thousand, one hundred twenty".