121747167072 has 144 divisors (see below), whose sum is σ = 360180581040. Its totient is φ = 40009374720.

The previous prime is 121747167067. The next prime is 121747167077. The reversal of 121747167072 is 270761747121.

It is an interprime number because it is at equal distance from previous prime (121747167067) and next prime (121747167077).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121747167077) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4341448 + ... + 4369400.

It is an arithmetic number, because the mean of its divisors is an integer number (2501254035).

Almost surely, 2^121747167072 is an apocalyptic number.

121747167072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121747167072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180090290520).

121747167072 is an abundant number, since it is smaller than the sum of its proper divisors (238433413968).

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

121747167072 is an equidigital number, since it uses as much as digits as its factorization.

121747167072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28114 (or 28029 counting only the distinct ones).

The product of its (nonzero) digits is 230496, while the sum is 45.

The spelling of 121747167072 in words is "one hundred twenty-one billion, seven hundred forty-seven million, one hundred sixty-seven thousand, seventy-two".