122234334400 has 84 divisors (see below), whose sum is σ = 301427113680. Its totient is φ = 48787379200.

The previous prime is 122234334379. The next prime is 122234334407. The reversal of 122234334400 is 4433432221.

It is a super-2 number, since 2×122234334400² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122234334407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 654741 + ... + 820459.

It is an arithmetic number, because the mean of its divisors is an integer number (3588418020).

Almost surely, 2^122234334400 is an apocalyptic number.

122234334400 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 122234334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150713556840).

122234334400 is an abundant number, since it is smaller than the sum of its proper divisors (179192779280).

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

122234334400 is a wasteful number, since it uses less digits than its factorization.

122234334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166202 (or 166187 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 122234334400 its reverse (4433432221), we get a palindrome (126667766621).

The spelling of 122234334400 in words is "one hundred twenty-two billion, two hundred thirty-four million, three hundred thirty-four thousand, four hundred".