122045441126400 has 1872 divisors, whose sum is σ = 496148308225920. Its totient is φ = 29166826291200.

The previous prime is 122045441126263. The next prime is 122045441126419. The reversal of 122045441126400 is 4621144540221.

122045441126400 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 4 + 5 + 4 + 4 + 1 + 1 + 2 + 640 + 0 = 666.

It is a super-3 number, since 3×122045441126400³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 189806284479 + ... + 189806285121.

Almost surely, 2^{122045441126400} is an apocalyptic number.

122045441126400 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 122045441126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248074154112960).

122045441126400 is an abundant number, since it is smaller than the sum of its proper divisors (374102867099520).

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

122045441126400 is an equidigital number, since it uses as much as digits as its factorization.

122045441126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 122045441126400 its reverse (4621144540221), we get a palindrome (126666585666621).

The spelling of 122045441126400 in words is "one hundred twenty-two trillion, forty-five billion, four hundred forty-one million, one hundred twenty-six thousand, four hundred".