121744353138912 has 288 divisors, whose sum is σ = 413945764727040. Its totient is φ = 34709611104000.

The previous prime is 121744353138907. The next prime is 121744353138929. The reversal of 121744353138912 is 219831353447121.

121744353138912 is a `hidden beast` number, since 1 + 2 + 1 + 7 + 443 + 53 + 138 + 9 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×121744353138912² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16692037 + ... + 22849787.

It is an arithmetic number, because the mean of its divisors is an integer number (1437311683080).

Almost surely, 2^{121744353138912} is an apocalyptic number.

121744353138912 is a gapful number since it is divisible by the number (12) 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 121744353138912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206972882363520).

121744353138912 is an abundant number, since it is smaller than the sum of its proper divisors (292201411588128).

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

121744353138912 is a wasteful number, since it uses less digits than its factorization.

121744353138912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6158251 (or 6158230 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 121744353138912 in words is "one hundred twenty-one trillion, seven hundred forty-four billion, three hundred fifty-three million, one hundred thirty-eight thousand, nine hundred twelve".