32123022002010 has 256 divisors, whose sum is σ = 91866345177600. Its totient is φ = 7958755233792.

The previous prime is 32123022002003. The next prime is 32123022002011. The reversal of 32123022002010 is 1020022032123.

32123022002010 is a `hidden beast` number, since 3 + 212 + 30 + 220 + 0 + 201 + 0 = 666.

It is a super-3 number, since 3×32123022002010³ (a number of 41 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (32123022002011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 486465676 + ... + 486531704.

It is an arithmetic number, because the mean of its divisors is an integer number (358852910850).

Almost surely, 2^{32123022002010} is an apocalyptic number.

32123022002010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32123022002010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45933172588800).

32123022002010 is an abundant number, since it is smaller than the sum of its proper divisors (59743323175590).

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

32123022002010 is a wasteful number, since it uses less digits than its factorization.

32123022002010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67422 (or 67416 counting only the distinct ones).

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

Adding to 32123022002010 its reverse (1020022032123), we get a palindrome (33143044034133).

The spelling of 32123022002010 in words is "thirty-two trillion, one hundred twenty-three billion, twenty-two million, two thousand, ten".