122645314350 has 192 divisors, whose sum is σ = 365848459200. Its totient is φ = 30032363520.

The previous prime is 122645314313. The next prime is 122645314373. The reversal of 122645314350 is 53413546221.

122645314350 is a `hidden beast` number, since 1 + 2 + 2 + 645 + 3 + 1 + 4 + 3 + 5 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3369046 + ... + 3405254.

It is an arithmetic number, because the mean of its divisors is an integer number (1905460725).

Almost surely, 2^122645314350 is an apocalyptic number.

122645314350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122645314350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182924229600).

122645314350 is an abundant number, since it is smaller than the sum of its proper divisors (243203144850).

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

122645314350 is a wasteful number, since it uses less digits than its factorization.

122645314350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36436 (or 36425 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 122645314350 in words is "one hundred twenty-two billion, six hundred forty-five million, three hundred fourteen thousand, three hundred fifty".