12301022032002 has 192 divisors, whose sum is σ = 29999089815552. Its totient is φ = 3610610640000.

The previous prime is 12301022031997. The next prime is 12301022032031. The reversal of 12301022032002 is 20023022010321.

12301022032002 is a `hidden beast` number, since 1 + 230 + 10 + 220 + 3 + 200 + 2 = 666.

It is a super-2 number, since 2×12301022032002² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2176013808 + ... + 2176019460.

It is an arithmetic number, because the mean of its divisors is an integer number (156245259456).

Almost surely, 2^{12301022032002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12301022032002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999544907776).

12301022032002 is an abundant number, since it is smaller than the sum of its proper divisors (17698067783550).

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

12301022032002 is a wasteful number, since it uses less digits than its factorization.

12301022032002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7797 (or 7794 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12301022032002 its reverse (20023022010321), we get a palindrome (32324044042323).

The spelling of 12301022032002 in words is "twelve trillion, three hundred one billion, twenty-two million, thirty-two thousand, two".