122553563120 has 40 divisors (see below), whose sum is σ = 285127398000. Its totient is φ = 48988674560.

The previous prime is 122553563113. The next prime is 122553563137. The reversal of 122553563120 is 21365355221.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 391061 + ... + 630900.

It is an arithmetic number, because the mean of its divisors is an integer number (7128184950).

Almost surely, 2^122553563120 is an apocalyptic number.

122553563120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122553563120 is an abundant number, since it is smaller than the sum of its proper divisors (162573834880).

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

122553563120 is a wasteful number, since it uses less digits than its factorization.

122553563120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023473 (or 1023467 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

The spelling of 122553563120 in words is "one hundred twenty-two billion, five hundred fifty-three million, five hundred sixty-three thousand, one hundred twenty".