121788167760 has 320 divisors, whose sum is σ = 483824985600. Its totient is φ = 27581534208.

The previous prime is 121788167759. The next prime is 121788167771. The reversal of 121788167760 is 67761887121.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 121788167697 and 121788167706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1611132 + ... + 1685028.

It is an arithmetic number, because the mean of its divisors is an integer number (1511953080).

Almost surely, 2^121788167760 is an apocalyptic number.

121788167760 is a gapful number since it is divisible by the number (10) 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 121788167760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241912492800).

121788167760 is an abundant number, since it is smaller than the sum of its proper divisors (362036817840).

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

121788167760 is a wasteful number, since it uses less digits than its factorization.

121788167760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74035 (or 74023 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 54.

The spelling of 121788167760 in words is "one hundred twenty-one billion, seven hundred eighty-eight million, one hundred sixty-seven thousand, seven hundred sixty".