32213267409912 has 256 divisors, whose sum is σ = 87576141219840. Its totient is φ = 9835432206336.

The previous prime is 32213267409871. The next prime is 32213267409991. The reversal of 32213267409912 is 21990476231223.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2623865118 + ... + 2623877394.

It is an arithmetic number, because the mean of its divisors is an integer number (342094301640).

Almost surely, 2^{32213267409912} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32213267409912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43788070609920).

32213267409912 is an abundant number, since it is smaller than the sum of its proper divisors (55362873809928).

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

32213267409912 is a wasteful number, since it uses less digits than its factorization.

32213267409912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13110 (or 13106 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The spelling of 32213267409912 in words is "thirty-two trillion, two hundred thirteen billion, two hundred sixty-seven million, four hundred nine thousand, nine hundred twelve".