121606766623152 has 320 divisors, whose sum is σ = 354769368307200. Its totient is φ = 39876655104000.

The previous prime is 121606766623127. The next prime is 121606766623157. The reversal of 121606766623152 is 251326667606121.

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

It is not an unprimeable number, because it can be changed into a prime (121606766623157) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9353640652 + ... + 9353653652.

It is an arithmetic number, because the mean of its divisors is an integer number (1108654275960).

Almost surely, 2^{121606766623152} is an apocalyptic number.

121606766623152 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 121606766623152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177384684153600).

121606766623152 is an abundant number, since it is smaller than the sum of its proper divisors (233162601684048).

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

121606766623152 is a wasteful number, since it uses less digits than its factorization.

121606766623152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14193 (or 14181 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 121606766623152 in words is "one hundred twenty-one trillion, six hundred six billion, seven hundred sixty-six million, six hundred twenty-three thousand, one hundred fifty-two".