121312012322232 has 640 divisors, whose sum is σ = 363530209996800. Its totient is φ = 37727198668800.

The previous prime is 121312012322197. The next prime is 121312012322239. The reversal of 121312012322232 is 232223210213121.

121312012322232 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 1 + 201 + 232 + 223 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 121312012322196 and 121312012322205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121312012322239) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 78620875653 + ... + 78620877195.

It is an arithmetic number, because the mean of its divisors is an integer number (568015953120).

Almost surely, 2^{121312012322232} is an apocalyptic number.

121312012322232 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 121312012322232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181765104998400).

121312012322232 is an abundant number, since it is smaller than the sum of its proper divisors (242218197674568).

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

121312012322232 is a wasteful number, since it uses less digits than its factorization.

121312012322232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2529 (or 2516 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 121312012322232 its reverse (232223210213121), we get a palindrome (353535222535353).

The spelling of 121312012322232 in words is "one hundred twenty-one trillion, three hundred twelve billion, twelve million, three hundred twenty-two thousand, two hundred thirty-two".