122354127504400 has 405 divisors, whose sum is σ = 326373396727287. Its totient is φ = 44047300070400.

The previous prime is 122354127504361. The next prime is 122354127504403. The reversal of 122354127504400 is 4405721453221.

The square root of 122354127504400 is 11061380.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 356977570576 + 121997149933824 = 597476^2 + 11045232^2 .

It is a super-3 number, since 3×122354127504400³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122354127504403) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 333389993017 + ... + 333389993383.

Almost surely, 2^{122354127504400} is an apocalyptic number.

122354127504400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122354127504400 is the 11061380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122354127504400

122354127504400 is an abundant number, since it is smaller than the sum of its proper divisors (204019269222887).

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

122354127504400 is an equidigital number, since it uses as much as digits as its factorization.

122354127504400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 40.

Adding to 122354127504400 its reverse (4405721453221), we get a palindrome (126759848957621).

The spelling of 122354127504400 in words is "one hundred twenty-two trillion, three hundred fifty-four billion, one hundred twenty-seven million, five hundred four thousand, four hundred".