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32132220120000 = 263254711132193
BaseRepresentation
bin1110100111001010111011…
…00100001110101111000000
311012202210212200000122011200
413103211131210032233000
513202423241322320000
6152201201012141200
76524322240356550
oct723453544165700
9135683780018150
1032132220120000
11a26921a632a90
12372b533607800
1314c1094802700
147d12ca0dd160
153aac759ad500
hex1d395d90ebc0

32132220120000 has 5040 divisors, whose sum is σ = 164005720369920. Its totient is φ = 5838842880000.

The previous prime is 32132220119971. The next prime is 32132220120017. The reversal of 32132220120000 is 2102223123.

32132220120000 is a `hidden beast` number, since 321 + 3 + 2 + 220 + 120 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 1691169479991 + ... + 1691169480009.

Almost surely, 232132220120000 is an apocalyptic number.

32132220120000 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 32132220120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82002860184960).

32132220120000 is an abundant number, since it is smaller than the sum of its proper divisors (131873500249920).

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

32132220120000 is a wasteful number, since it uses less digits than its factorization.

32132220120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 60 counting only the distinct ones).

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

Adding to 32132220120000 its reverse (2102223123), we get a palindrome (32134322343123).

The spelling of 32132220120000 in words is "thirty-two trillion, one hundred thirty-two billion, two hundred twenty million, one hundred twenty thousand".