122413010132000 has 192 divisors, whose sum is σ = 343831050291456. Its totient is φ = 41958536601600.

The previous prime is 122413010131987. The next prime is 122413010132047. The reversal of 122413010132000 is 231010314221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100671647 + ... + 101880353.

It is an arithmetic number, because the mean of its divisors is an integer number (1790786720268).

Almost surely, 2^{122413010132000} is an apocalyptic number.

122413010132000 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 122413010132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171915525145728).

122413010132000 is an abundant number, since it is smaller than the sum of its proper divisors (221418040159456).

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

122413010132000 is a wasteful number, since it uses less digits than its factorization.

122413010132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212356 (or 1212338 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 122413010132000 its reverse (231010314221), we get a palindrome (122644020446221).

The spelling of 122413010132000 in words is "one hundred twenty-two trillion, four hundred thirteen billion, ten million, one hundred thirty-two thousand".