122113333032000 has 448 divisors, whose sum is σ = 430254604665600. Its totient is φ = 30427077427200.

The previous prime is 122113333031999. The next prime is 122113333032011. The reversal of 122113333032000 is 230333311221.

It is a super-2 number, since 2×122113333032000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 31453806 + ... + 35122194.

Almost surely, 2^{122113333032000} is an apocalyptic number.

122113333032000 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 122113333032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215127302332800).

122113333032000 is an abundant number, since it is smaller than the sum of its proper divisors (308141271633600).

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

122113333032000 is a wasteful number, since it uses less digits than its factorization.

122113333032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3668511 (or 3668491 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 122113333032000 its reverse (230333311221), we get a palindrome (122343666343221).

The spelling of 122113333032000 in words is "one hundred twenty-two trillion, one hundred thirteen billion, three hundred thirty-three million, thirty-two thousand".