Search a number
-
+
32012012212000 = 2553191409298943
BaseRepresentation
bin1110100011101011000001…
…00111011100111100100000
311012100022121011122012111221
413101311200213130330200
513143441100111241000
6152030040531344424
76512535335122432
oct721654047347440
9135308534565457
1032012012212000
11a222244384577
123710186152114
1314b2948522772
147c9565316652
153a7a8c63a61a
hex1d1d609dcf20

32012012212000 has 192 divisors, whose sum is σ = 82852210022400. Its totient is φ = 12122217676800.

The previous prime is 32012012211967. The next prime is 32012012212007. The reversal of 32012012212000 is 21221021023.

It is a happy number.

It is a super-2 number, since 2×320120122120002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (32012012212007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106934529 + ... + 107233471.

It is an arithmetic number, because the mean of its divisors is an integer number (431521927200).

Almost surely, 232012012212000 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 32012012212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41426105011200).

32012012212000 is an abundant number, since it is smaller than the sum of its proper divisors (50840197810400).

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

32012012212000 is a wasteful number, since it uses less digits than its factorization.

32012012212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300396 (or 300378 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 32012012212000 its reverse (21221021023), we get a palindrome (32033233233023).

The spelling of 32012012212000 in words is "thirty-two trillion, twelve billion, twelve million, two hundred twelve thousand".