122011410330320 has 320 divisors, whose sum is σ = 344035508889600. Its totient is φ = 39310256240640.

The previous prime is 122011410330307. The next prime is 122011410330353. The reversal of 122011410330320 is 23033014110221.

It is a super-2 number, since 2×122011410330320² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 693714551 + ... + 693890409.

It is an arithmetic number, because the mean of its divisors is an integer number (1075110965280).

Almost surely, 2^{122011410330320} is an apocalyptic number.

122011410330320 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 122011410330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172017754444800).

122011410330320 is an abundant number, since it is smaller than the sum of its proper divisors (222024098559280).

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

122011410330320 is a wasteful number, since it uses less digits than its factorization.

122011410330320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176426 (or 176420 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 122011410330320 its reverse (23033014110221), we get a palindrome (145044424440541).

The spelling of 122011410330320 in words is "one hundred twenty-two trillion, eleven billion, four hundred ten million, three hundred thirty thousand, three hundred twenty".