122121441024000 has 768 divisors, whose sum is σ = 445515316646400. Its totient is φ = 29454516224000.

The previous prime is 122121441023993. The next prime is 122121441024017. The reversal of 122121441024000 is 420144121221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1664219311 + ... + 1664292689.

It is an arithmetic number, because the mean of its divisors is an integer number (580098068550).

Almost surely, 2^{122121441024000} is an apocalyptic number.

122121441024000 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 122121441024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222757658323200).

122121441024000 is an abundant number, since it is smaller than the sum of its proper divisors (323393875622400).

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

122121441024000 is a wasteful number, since it uses less digits than its factorization.

122121441024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73627 (or 73597 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 122121441024000 its reverse (420144121221), we get a palindrome (122541585145221).

The spelling of 122121441024000 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, four hundred forty-one million, twenty-four thousand".