121834351908672 has 448 divisors, whose sum is σ = 369553502760960. Its totient is φ = 35165374193664.

The previous prime is 121834351908629. The next prime is 121834351908673. The reversal of 121834351908672 is 276809153438121.

It is a super-2 number, since 2×121834351908672² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121834351908673) 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, 290606979 + ... + 291025917.

It is an arithmetic number, because the mean of its divisors is an integer number (824896211520).

It is a 1-persistent number, because it is pandigital, but 2⋅121834351908672 = 243668703817344 is not.

Almost surely, 2^{121834351908672} is an apocalyptic number.

121834351908672 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 121834351908672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184776751380480).

121834351908672 is an abundant number, since it is smaller than the sum of its proper divisors (247719150852288).

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

121834351908672 is a wasteful number, since it uses less digits than its factorization.

121834351908672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419118 (or 419108 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 121834351908672 in words is "one hundred twenty-one trillion, eight hundred thirty-four billion, three hundred fifty-one million, nine hundred eight thousand, six hundred seventy-two".