122401412412400 has 240 divisors, whose sum is σ = 324897446223648. Its totient is φ = 43944017920000.

The previous prime is 122401412412359. The next prime is 122401412412403. The reversal of 122401412412400 is 4214214104221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122401412412403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156483072 + ... + 157263328.

Almost surely, 2^{122401412412400} is an apocalyptic number.

122401412412400 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 122401412412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162448723111824).

122401412412400 is an abundant number, since it is smaller than the sum of its proper divisors (202496033811248).

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

122401412412400 is a wasteful number, since it uses less digits than its factorization.

122401412412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780740 (or 780729 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 122401412412400 its reverse (4214214104221), we get a palindrome (126615626516621).

The spelling of 122401412412400 in words is "one hundred twenty-two trillion, four hundred one billion, four hundred twelve million, four hundred twelve thousand, four hundred".