122553603000 has 384 divisors, whose sum is σ = 420526080000. Its totient is φ = 32188665600.

The previous prime is 122553602981. The next prime is 122553603001. The reversal of 122553603000 is 306355221.

122553603000 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 53 + 603 + 0 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122553603001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 204596701 + ... + 204597299.

It is an arithmetic number, because the mean of its divisors is an integer number (1095120000).

Almost surely, 2^122553603000 is an apocalyptic number.

122553603000 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 122553603000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210263040000).

122553603000 is an abundant number, since it is smaller than the sum of its proper divisors (297972477000).

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

122553603000 is a wasteful number, since it uses less digits than its factorization.

122553603000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 122553603000 its reverse (306355221), we get a palindrome (122859958221).

The spelling of 122553603000 in words is "one hundred twenty-two billion, five hundred fifty-three million, six hundred three thousand".