121321133140014 has 128 divisors (see below), whose sum is σ = 274807164240000. Its totient is φ = 39667608566784.

The previous prime is 121321133139961. The next prime is 121321133140073. The reversal of 121321133140014 is 410041331123121.

121321133140014 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 211 + 3 + 31 + 400 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 121321133140014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 570620632 + ... + 570833204.

It is an arithmetic number, because the mean of its divisors is an integer number (2146930970625).

Almost surely, 2^{121321133140014} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121321133140014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137403582120000).

121321133140014 is an abundant number, since it is smaller than the sum of its proper divisors (153486031099986).

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

121321133140014 is a wasteful number, since it uses less digits than its factorization.

121321133140014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213619 (or 213613 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 121321133140014 its reverse (410041331123121), we get a palindrome (531362464263135).

The spelling of 121321133140014 in words is "one hundred twenty-one trillion, three hundred twenty-one billion, one hundred thirty-three million, one hundred forty thousand, fourteen".