122138481450384 has 405 divisors, whose sum is σ = 400765552802433. Its totient is φ = 34623247502592.

The previous prime is 122138481450277. The next prime is 122138481450443. The reversal of 122138481450384 is 483054184831221.

The square root of 122138481450384 is 11051628.

It is a perfect power (a square), and thus also a powerful number.

122138481450384 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 3 + 8 + 48 + 14 + 503 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14309364003984 + 107829117446400 = 3782772^2 + 10384080^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 122138481450384.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 138322175607 + ... + 138322176489.

Almost surely, 2^{122138481450384} is an apocalyptic number.

122138481450384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

122138481450384 is the 11051628-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122138481450384

122138481450384 is an abundant number, since it is smaller than the sum of its proper divisors (278627071352049).

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

122138481450384 is an frugal number, since it uses more digits than its factorization.

122138481450384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2092 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 122138481450384 in words is "one hundred twenty-two trillion, one hundred thirty-eight billion, four hundred eighty-one million, four hundred fifty thousand, three hundred eighty-four".