332211132000 has 672 divisors, whose sum is σ = 1335188129184. Its totient is φ = 80528256000.

The previous prime is 332211131971. The next prime is 332211132013. The reversal of 332211132000 is 231112233.

332211132000 is a `hidden beast` number, since 332 + 2 + 1 + 11 + 320 + 0 + 0 = 666.

It is a super-2 number, since 2×332211132000² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 32070822 + ... + 32081178.

It is an arithmetic number, because the mean of its divisors is an integer number (1986887097).

Almost surely, 2^332211132000 is an apocalyptic number.

332211132000 is a gapful number since it is divisible by the number (30) 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 332211132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667594064592).

332211132000 is an abundant number, since it is smaller than the sum of its proper divisors (1002976997184).

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

332211132000 is a wasteful number, since it uses less digits than its factorization.

332211132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10411 (or 10378 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 332211132000 its reverse (231112233), we get a palindrome (332442244233).

The spelling of 332211132000 in words is "three hundred thirty-two billion, two hundred eleven million, one hundred thirty-two thousand".