122314152000 has 224 divisors, whose sum is σ = 413735422464. Its totient is φ = 31821312000.

The previous prime is 122314151987. The next prime is 122314152011. The reversal of 122314152000 is 251413221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 921849 + ... + 1046151.

It is an arithmetic number, because the mean of its divisors is an integer number (1847033136).

Almost surely, 2^122314152000 is an apocalyptic number.

122314152000 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 122314152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206867711232).

122314152000 is an abundant number, since it is smaller than the sum of its proper divisors (291421270464).

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

122314152000 is a wasteful number, since it uses less digits than its factorization.

122314152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124374 (or 124354 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 122314152000 its reverse (251413221), we get a palindrome (122565565221).

The spelling of 122314152000 in words is "one hundred twenty-two billion, three hundred fourteen million, one hundred fifty-two thousand".