132012323121120 has 192 divisors, whose sum is σ = 447909664204800. Its totient is φ = 32489300625408.

The previous prime is 132012323121079. The next prime is 132012323121167. The reversal of 132012323121120 is 21121323210231.

It is a super-3 number, since 3×132012323121120³ (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31651281 + ... + 35578479.

It is an arithmetic number, because the mean of its divisors is an integer number (2332862834400).

Almost surely, 2^{132012323121120} is an apocalyptic number.

132012323121120 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 132012323121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223954832102400).

132012323121120 is an abundant number, since it is smaller than the sum of its proper divisors (315897341083680).

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

132012323121120 is a wasteful number, since it uses less digits than its factorization.

132012323121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3932617 (or 3932609 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 132012323121120 its reverse (21121323210231), we get a palindrome (153133646331351).

The spelling of 132012323121120 in words is "one hundred thirty-two trillion, twelve billion, three hundred twenty-three million, one hundred twenty-one thousand, one hundred twenty".