32120233200000 has 1152 divisors, whose sum is σ = 128107641523680. Its totient is φ = 7658496000000.

The previous prime is 32120233199993. The next prime is 32120233200023. The reversal of 32120233200000 is 233202123.

It is a happy number.

32120233200000 is a `hidden beast` number, since 321 + 2 + 0 + 23 + 320 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2415593352 + ... + 2415606648.

Almost surely, 2^{32120233200000} is an apocalyptic number.

32120233200000 is a gapful number since it is divisible by the number (30) 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 32120233200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64053820761840).

32120233200000 is an abundant number, since it is smaller than the sum of its proper divisors (95987408323680).

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

32120233200000 is a wasteful number, since it uses less digits than its factorization.

32120233200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13414 (or 13379 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 32120233200000 its reverse (233202123), we get a palindrome (32120466402123).

The spelling of 32120233200000 in words is "thirty-two trillion, one hundred twenty billion, two hundred thirty-three million, two hundred thousand".