122085314400 has 288 divisors, whose sum is σ = 454515909120. Its totient is φ = 27883192320.

The previous prime is 122085314387. The next prime is 122085314413. The reversal of 122085314400 is 4413580221.

It is an interprime number because it is at equal distance from previous prime (122085314387) and next prime (122085314413).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31733277 + ... + 31737123.

It is an arithmetic number, because the mean of its divisors is an integer number (1578180240).

Almost surely, 2^122085314400 is an apocalyptic number.

122085314400 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 122085314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227257954560).

122085314400 is an abundant number, since it is smaller than the sum of its proper divisors (332430594720).

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

122085314400 is a wasteful number, since it uses less digits than its factorization.

122085314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5766 (or 5753 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 122085314400 its reverse (4413580221), we get a palindrome (126498894621).

The spelling of 122085314400 in words is "one hundred twenty-two billion, eighty-five million, three hundred fourteen thousand, four hundred".