122633631400 has 192 divisors, whose sum is σ = 338254778880. Its totient is φ = 40475289600.

The previous prime is 122633631397. The next prime is 122633631403. The reversal of 122633631400 is 4136336221.

It is an interprime number because it is at equal distance from previous prime (122633631397) and next prime (122633631403).

It is not an unprimeable number, because it can be changed into a prime (122633631403) 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 47 ways as a sum of consecutive naturals, for example, 3998524 + ... + 4029076.

It is an arithmetic number, because the mean of its divisors is an integer number (1761743640).

Almost surely, 2^122633631400 is an apocalyptic number.

122633631400 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 122633631400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169127389440).

122633631400 is an abundant number, since it is smaller than the sum of its proper divisors (215621147480).

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

122633631400 is a wasteful number, since it uses less digits than its factorization.

122633631400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30684 (or 30675 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

Adding to 122633631400 its reverse (4136336221), we get a palindrome (126769967621).

The spelling of 122633631400 in words is "one hundred twenty-two billion, six hundred thirty-three million, six hundred thirty-one thousand, four hundred".