121843634132064 has 768 divisors, whose sum is σ = 369153642654720. Its totient is φ = 34880115179520.

The previous prime is 121843634132029. The next prime is 121843634132111. The reversal of 121843634132064 is 460231436348121.

121843634132064 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×121843634132064³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 211167476544 + ... + 211167477120.

It is an arithmetic number, because the mean of its divisors is an integer number (480668805540).

Almost surely, 2^{121843634132064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121843634132064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184576821327360).

121843634132064 is an abundant number, since it is smaller than the sum of its proper divisors (247310008522656).

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

121843634132064 is a wasteful number, since it uses less digits than its factorization.

121843634132064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The spelling of 121843634132064 in words is "one hundred twenty-one trillion, eight hundred forty-three billion, six hundred thirty-four million, one hundred thirty-two thousand, sixty-four".