121614083700480 has 6912 divisors, whose sum is σ = 587549284761600. Its totient is φ = 23597395476480.

The previous prime is 121614083700457. The next prime is 121614083700539. The reversal of 121614083700480 is 84007380416121.

121614083700480 is a `hidden beast` number, since 1 + 2 + 1 + 61 + 40 + 8 + 3 + 70 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 957591210177 + ... + 957591210303.

It is an arithmetic number, because the mean of its divisors is an integer number (85004236800).

Almost surely, 2^{121614083700480} is an apocalyptic number.

121614083700480 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 121614083700480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293774642380800).

121614083700480 is an abundant number, since it is smaller than the sum of its proper divisors (465935201061120).

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

121614083700480 is a wasteful number, since it uses less digits than its factorization.

121614083700480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 121614083700480 in words is "one hundred twenty-one trillion, six hundred fourteen billion, eighty-three million, seven hundred thousand, four hundred eighty".