1221200210120 has 48 divisors (see below), whose sum is σ = 3020199705180. Its totient is φ = 444072801920.

The previous prime is 1221200210077. The next prime is 1221200210183. The reversal of 1221200210120 is 210120021221.

It can be written as a sum of positive squares in 2 ways, for example, as 1137034077124 + 84166132996 = 1066318^2 + 290114^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1221200210095 and 1221200210104.

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 11 ways as a sum of consecutive naturals, for example, 126152207 + ... + 126161886.

Almost surely, 2^{1221200210120} is an apocalyptic number.

1221200210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221200210120 is an abundant number, since it is smaller than the sum of its proper divisors (1798999495060).

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

1221200210120 is a wasteful number, since it uses less digits than its factorization.

1221200210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252314126 (or 252314111 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1221200210120 its reverse (210120021221), we get a palindrome (1431320231341).

The spelling of 1221200210120 in words is "one trillion, two hundred twenty-one billion, two hundred million, two hundred ten thousand, one hundred twenty".