122120314422400 has 576 divisors, whose sum is σ = 385521960283200. Its totient is φ = 37332806860800.

The previous prime is 122120314422373. The next prime is 122120314422409. The reversal of 122120314422400 is 4224413021221.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (122120314422409) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 122501970 + ... + 123494830.

It is an arithmetic number, because the mean of its divisors is an integer number (669308958825).

Almost surely, 2^{122120314422400} is an apocalyptic number.

122120314422400 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 122120314422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192760980141600).

122120314422400 is an abundant number, since it is smaller than the sum of its proper divisors (263401645860800).

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

122120314422400 is a wasteful number, since it uses less digits than its factorization.

122120314422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992945 (or 992911 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 122120314422400 its reverse (4224413021221), we get a palindrome (126344727443621).

The spelling of 122120314422400 in words is "one hundred twenty-two trillion, one hundred twenty billion, three hundred fourteen million, four hundred twenty-two thousand, four hundred".