121200221001012 has 96 divisors (see below), whose sum is σ = 291932079124224. Its totient is φ = 39107071641600.

The previous prime is 121200221001011. The next prime is 121200221001017. The reversal of 121200221001012 is 210100122002121.

121200221001012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 121200221000982 and 121200221001000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121200221001011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109771818 + ... + 110870430.

It is an arithmetic number, because the mean of its divisors is an integer number (3040959157544).

Almost surely, 2^{121200221001012} is an apocalyptic number.

121200221001012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121200221001012 is an abundant number, since it is smaller than the sum of its proper divisors (170731858123212).

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

121200221001012 is a wasteful number, since it uses less digits than its factorization.

121200221001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099929 (or 1099927 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 121200221001012 its reverse (210100122002121), we get a palindrome (331300343003133).

The spelling of 121200221001012 in words is "one hundred twenty-one trillion, two hundred billion, two hundred twenty-one million, one thousand, twelve".