122053005000 has 240 divisors, whose sum is σ = 420078344400. Its totient is φ = 31995120000.

The previous prime is 122053004987. The next prime is 122053005007. The reversal of 122053005000 is 500350221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (122053005007) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 2632015 + ... + 2677985.

It is an arithmetic number, because the mean of its divisors is an integer number (1750326435).

Almost surely, 2^122053005000 is an apocalyptic number.

122053005000 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 122053005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210039172200).

122053005000 is an abundant number, since it is smaller than the sum of its proper divisors (298025339400).

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

122053005000 is a wasteful number, since it uses less digits than its factorization.

122053005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46062 (or 46040 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

Adding to 122053005000 its reverse (500350221), we get a palindrome (122553355221).

The spelling of 122053005000 in words is "one hundred twenty-two billion, fifty-three million, five thousand".