122941203840 has 2304 divisors, whose sum is σ = 591970317120. Its totient is φ = 24078974976.

The previous prime is 122941203829. The next prime is 122941203841. The reversal of 122941203840 is 48302149221.

It is a super-2 number, since 2×122941203840² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 122941203795 and 122941203804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122941203841) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1684126044 + ... + 1684126116.

Almost surely, 2^122941203840 is an apocalyptic number.

122941203840 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 122941203840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295985158560).

122941203840 is an abundant number, since it is smaller than the sum of its proper divisors (469029113280).

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

122941203840 is a wasteful number, since it uses less digits than its factorization.

122941203840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 122941203840 in words is "one hundred twenty-two billion, nine hundred forty-one million, two hundred three thousand, eight hundred forty".