121343551214040 has 512 divisors, whose sum is σ = 412490741760000. Its totient is φ = 31720529180160.

The previous prime is 121343551214021. The next prime is 121343551214077. The reversal of 121343551214040 is 40412155343121.

121343551214040 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 4 + 3 + 551 + 21 + 40 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 121343551213986 and 121343551214004.

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, 50920498689 + ... + 50920501071.

It is an arithmetic number, because the mean of its divisors is an integer number (805645980000).

Almost surely, 2^{121343551214040} is an apocalyptic number.

121343551214040 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 121343551214040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206245370880000).

121343551214040 is an abundant number, since it is smaller than the sum of its proper divisors (291147190545960).

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

121343551214040 is a wasteful number, since it uses less digits than its factorization.

121343551214040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4372 (or 4362 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 121343551214040 in words is "one hundred twenty-one trillion, three hundred forty-three billion, five hundred fifty-one million, two hundred fourteen thousand, forty".