121201122000212 has 12 divisors (see below), whose sum is σ = 213200937405876. Its totient is φ = 60286568455680.

The previous prime is 121201122000191. The next prime is 121201122000227. The reversal of 121201122000212 is 212000221102121.

It can be written as a sum of positive squares in 2 ways, for example, as 41571984197956 + 79629137802256 = 6447634^2 + 8923516^2 .

It is a super-2 number, since 2×121201122000212² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 78498135239 + ... + 78498136782.

It is an arithmetic number, because the mean of its divisors is an integer number (17766744783823).

Almost surely, 2^{121201122000212} is an apocalyptic number.

It is an amenable number.

121201122000212 is a deficient number, since it is larger than the sum of its proper divisors (91999815405664).

121201122000212 is a wasteful number, since it uses less digits than its factorization.

121201122000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156996272218 (or 156996272216 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 121201122000212 its reverse (212000221102121), we get a palindrome (333201343102333).

The spelling of 121201122000212 in words is "one hundred twenty-one trillion, two hundred one billion, one hundred twenty-two million, two hundred twelve", and thus it is an aban number.