122132301000 has 512 divisors, whose sum is σ = 421779571200. Its totient is φ = 29292134400.

The previous prime is 122132300923. The next prime is 122132301001. The reversal of 122132301000 is 103231221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (122132301001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 111332452 + ... + 111333548.

It is an arithmetic number, because the mean of its divisors is an integer number (823788225).

Almost surely, 2^122132301000 is an apocalyptic number.

122132301000 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 122132301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210889785600).

122132301000 is an abundant number, since it is smaller than the sum of its proper divisors (299647270200).

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

122132301000 is a wasteful number, since it uses less digits than its factorization.

122132301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 122132301000 its reverse (103231221), we get a palindrome (122235532221).

The spelling of 122132301000 in words is "one hundred twenty-two billion, one hundred thirty-two million, three hundred one thousand".