132212022311000 has 256 divisors, whose sum is σ = 336803081771520. Its totient is φ = 48380682240000.

The previous prime is 132212022310993. The next prime is 132212022311021. The reversal of 132212022311000 is 113220212231.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 188537024 + ... + 189236976.

It is an arithmetic number, because the mean of its divisors is an integer number (1315637038170).

Almost surely, 2^{132212022311000} is an apocalyptic number.

132212022311000 is a gapful number since it is divisible by the number (10) 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 132212022311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168401540885760).

132212022311000 is an abundant number, since it is smaller than the sum of its proper divisors (204591059460520).

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

132212022311000 is a wasteful number, since it uses less digits than its factorization.

132212022311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700303 (or 700289 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 132212022311000 its reverse (113220212231), we get a palindrome (132325242523231).

The spelling of 132212022311000 in words is "one hundred thirty-two trillion, two hundred twelve billion, twenty-two million, three hundred eleven thousand".