20121111121967 has 2 divisors, whose sum is σ = 20121111121968. Its totient is φ = 20121111121966.

The previous prime is 20121111121949. The next prime is 20121111122003. The reversal of 20121111121967 is 76912111112102.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20121111121967 is a prime.

It is a super-2 number, since 2×20121111121967² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20121111124967) by changing a digit.

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 as a sum of consecutive naturals, namely, 10060555560983 + 10060555560984.

It is an arithmetic number, because the mean of its divisors is an integer number (10060555560984).

Almost surely, 2^{20121111121967} is an apocalyptic number.

20121111121967 is a deficient number, since it is larger than the sum of its proper divisors (1).

20121111121967 is an equidigital number, since it uses as much as digits as its factorization.

20121111121967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 35.

The spelling of 20121111121967 in words is "twenty trillion, one hundred twenty-one billion, one hundred eleven million, one hundred twenty-one thousand, nine hundred sixty-seven".