122273098184520 has 384 divisors, whose sum is σ = 400991956092000. Its totient is φ = 32311870341120.

The previous prime is 122273098184473. The next prime is 122273098184533. The reversal of 122273098184520 is 25481890372221.

It is a happy number.

122273098184520 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 7 + 30 + 9 + 8 + 1 + 84 + 520 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 6740223285636 + 115532874898884 = 2596194^2 + 10748622^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32966592426 + ... + 32966596134.

Almost surely, 2^{122273098184520} is an apocalyptic number.

122273098184520 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 122273098184520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200495978046000).

122273098184520 is an abundant number, since it is smaller than the sum of its proper divisors (278718857907480).

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

122273098184520 is a wasteful number, since it uses less digits than its factorization.

122273098184520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5553 (or 5546 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 122273098184520 in words is "one hundred twenty-two trillion, two hundred seventy-three billion, ninety-eight million, one hundred eighty-four thousand, five hundred twenty".