122600582104 has 384 divisors, whose sum is σ = 338507769600. Its totient is φ = 40784808960.

The previous prime is 122600582051. The next prime is 122600582107. The reversal of 122600582104 is 401285006221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122600582107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45796414 + ... + 45799090.

It is an arithmetic number, because the mean of its divisors is an integer number (881530650).

Almost surely, 2^122600582104 is an apocalyptic number.

122600582104 is a gapful number since it is divisible by the number (14) 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 122600582104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169253884800).

122600582104 is an abundant number, since it is smaller than the sum of its proper divisors (215907187496).

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

122600582104 is a wasteful number, since it uses less digits than its factorization.

122600582104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

Adding to 122600582104 its reverse (401285006221), we get a palindrome (523885588325).

The spelling of 122600582104 in words is "one hundred twenty-two billion, six hundred million, five hundred eighty-two thousand, one hundred four".