122311143113400 has 288 divisors, whose sum is σ = 425012643432000. Its totient is φ = 31485167293440.

The previous prime is 122311143113359. The next prime is 122311143113407. The reversal of 122311143113400 is 4311341113221.

122311143113400 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 1 + 1 + 1 + 4 + 311 + 340 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122311143113407) 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, 257787586 + ... + 258261614.

It is an arithmetic number, because the mean of its divisors is an integer number (1475738345250).

Almost surely, 2^{122311143113400} is an apocalyptic number.

122311143113400 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 122311143113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212506321716000).

122311143113400 is an abundant number, since it is smaller than the sum of its proper divisors (302701500318600).

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

122311143113400 is a wasteful number, since it uses less digits than its factorization.

122311143113400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479023 (or 479011 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 122311143113400 its reverse (4311341113221), we get a palindrome (126622484226621).

The spelling of 122311143113400 in words is "one hundred twenty-two trillion, three hundred eleven billion, one hundred forty-three million, one hundred thirteen thousand, four hundred".