122330133001032 has 256 divisors, whose sum is σ = 344804821401600. Its totient is φ = 35849187360000.

The previous prime is 122330133001001. The next prime is 122330133001081. The reversal of 122330133001032 is 230100331033221.

It is a super-2 number, since 2×122330133001032² (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 a junction number, because it is equal to n+sod(n) for n = 122330133000993 and 122330133001011.

It is an unprimeable number.

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, 363746157 + ... + 364082307.

It is an arithmetic number, because the mean of its divisors is an integer number (1346893833600).

Almost surely, 2^{122330133001032} is an apocalyptic number.

122330133001032 is a gapful number since it is divisible by the number (12) 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 122330133001032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172402410700800).

122330133001032 is an abundant number, since it is smaller than the sum of its proper divisors (222474688400568).

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

122330133001032 is a wasteful number, since it uses less digits than its factorization.

122330133001032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336568 (or 336564 counting only the distinct ones).

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

Adding to 122330133001032 its reverse (230100331033221), we get a palindrome (352430464034253).

The spelling of 122330133001032 in words is "one hundred twenty-two trillion, three hundred thirty billion, one hundred thirty-three million, one thousand, thirty-two".