122004334212040 has 256 divisors, whose sum is σ = 322959524659200. Its totient is φ = 40617359456256.

The previous prime is 122004334212023. The next prime is 122004334212043. The reversal of 122004334212040 is 40212433400221.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (122004334212043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2408889997 + ... + 2408940643.

It is an arithmetic number, because the mean of its divisors is an integer number (1261560643200).

Almost surely, 2^{122004334212040} is an apocalyptic number.

122004334212040 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 122004334212040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161479762329600).

122004334212040 is an abundant number, since it is smaller than the sum of its proper divisors (200955190447160).

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

122004334212040 is a wasteful number, since it uses less digits than its factorization.

122004334212040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52564 (or 52560 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 122004334212040 its reverse (40212433400221), we get a palindrome (162216767612261).

The spelling of 122004334212040 in words is "one hundred twenty-two trillion, four billion, three hundred thirty-four million, two hundred twelve thousand, forty".