121284141545296 has 20 divisors (see below), whose sum is σ = 243091059563700. Its totient is φ = 58550964883712.

The previous prime is 121284141545263. The next prime is 121284141545297. The reversal of 121284141545296 is 692545141482121.

121284141545296 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 70428416602896 + 50855724942400 = 8392164^2 + 7131320^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121284141545297) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 130694117581 + ... + 130694118508.

It is an arithmetic number, because the mean of its divisors is an integer number (12154552978185).

Almost surely, 2^{121284141545296} is an apocalyptic number.

121284141545296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

121284141545296 is an abundant number, since it is smaller than the sum of its proper divisors (121806918018404).

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

121284141545296 is a wasteful number, since it uses less digits than its factorization.

121284141545296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261388236126 (or 261388236120 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 55.

The spelling of 121284141545296 in words is "one hundred twenty-one trillion, two hundred eighty-four billion, one hundred forty-one million, five hundred forty-five thousand, two hundred ninety-six".