121414140155616 has 768 divisors, whose sum is σ = 433486307100672. Its totient is φ = 28794440908800.

The previous prime is 121414140155591. The next prime is 121414140155617. The reversal of 121414140155616 is 616551041414121.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121414140155617) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 559473306 + ... + 559690278.

It is an arithmetic number, because the mean of its divisors is an integer number (564435295704).

Almost surely, 2^{121414140155616} is an apocalyptic number.

121414140155616 is a gapful number since it is divisible by the number (16) 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 121414140155616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216743153550336).

121414140155616 is an abundant number, since it is smaller than the sum of its proper divisors (312072166945056).

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

121414140155616 is a wasteful number, since it uses less digits than its factorization.

121414140155616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217155 (or 217147 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

Adding to 121414140155616 its reverse (616551041414121), we get a palindrome (737965181569737).

The spelling of 121414140155616 in words is "one hundred twenty-one trillion, four hundred fourteen billion, one hundred forty million, one hundred fifty-five thousand, six hundred sixteen".