121332012021132 has 96 divisors (see below), whose sum is σ = 322334330411520. Its totient is φ = 35162024916480.

The previous prime is 121332012021107. The next prime is 121332012021133. The reversal of 121332012021132 is 231120210233121.

It is a super-3 number, since 3×121332012021132³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (121332012021133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12219294 + ... + 19798362.

It is an arithmetic number, because the mean of its divisors is an integer number (3357649275120).

Almost surely, 2^{121332012021132} is an apocalyptic number.

121332012021132 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 121332012021132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161167165205760).

121332012021132 is an abundant number, since it is smaller than the sum of its proper divisors (201002318390388).

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

121332012021132 is a wasteful number, since it uses less digits than its factorization.

121332012021132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7584383 (or 7584381 counting only the distinct ones).

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

Adding to 121332012021132 its reverse (231120210233121), we get a palindrome (352452222254253).

The spelling of 121332012021132 in words is "one hundred twenty-one trillion, three hundred thirty-two billion, twelve million, twenty-one thousand, one hundred thirty-two".