32120121000000 has 1568 divisors, whose sum is σ = 122413733084160. Its totient is φ = 7356800000000.

The previous prime is 32120120999983. The next prime is 32120121000007. The reversal of 32120121000000 is 12102123.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 32120121000000.

It is not an unprimeable number, because it can be changed into a prime (32120121000007) by changing a digit.

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 223 ways as a sum of consecutive naturals, for example, 76658999791 + ... + 76659000209.

Almost surely, 2^{32120121000000} is an apocalyptic number.

32120121000000 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 32120121000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61206866542080).

32120121000000 is an abundant number, since it is smaller than the sum of its proper divisors (90293612084160).

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

32120121000000 is a wasteful number, since it uses less digits than its factorization.

32120121000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 32120121000000 its reverse (12102123), we get a palindrome (32120133102123).

The spelling of 32120121000000 in words is "thirty-two trillion, one hundred twenty billion, one hundred twenty-one million", and thus it is an aban number.