121211101011200 has 108 divisors (see below), whose sum is σ = 300906676013580. Its totient is φ = 48340568801280.

The previous prime is 121211101011179. The next prime is 121211101011229. The reversal of 121211101011200 is 2110101112121.

It can be written as a sum of positive squares in 6 ways, for example, as 6875471340544 + 114335629670656 = 2622112^2 + 10692784^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25942955 + ... + 30256554.

Almost surely, 2^{121211101011200} is an apocalyptic number.

121211101011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121211101011200 is an abundant number, since it is smaller than the sum of its proper divisors (179695575002380).

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

121211101011200 is an equidigital number, since it uses as much as digits as its factorization.

121211101011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56199872 (or 56199853 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 121211101011200 its reverse (2110101112121), we get a palindrome (123321202123321).

The spelling of 121211101011200 in words is "one hundred twenty-one trillion, two hundred eleven billion, one hundred one million, eleven thousand, two hundred".