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12130332132000 = 25353792161971
BaseRepresentation
bin1011000010000101000000…
…1000110100001010100000
31120221122111200222101212110
42300201100020310022200
53042220410011211000
641444333031555320
72361246636604515
oct260412010641240
946848450871773
1012130332132000
113957499284695
12143ab3382bb40
1369cb68332714
142dd17b22330c
1516080eedd850
hexb08502342a0

12130332132000 has 288 divisors, whose sum is σ = 40248608871744. Its totient is φ = 3193789248000.

The previous prime is 12130332131999. The next prime is 12130332132007. The reversal of 12130332132000 is 23123303121.

It is not an unprimeable number, because it can be changed into a prime (12130332132007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74811015 + ... + 74972985.

It is an arithmetic number, because the mean of its divisors is an integer number (139752114138).

Almost surely, 212130332132000 is an apocalyptic number.

12130332132000 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 12130332132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20124304435872).

12130332132000 is an abundant number, since it is smaller than the sum of its proper divisors (28118276739744).

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

12130332132000 is an equidigital number, since it uses as much as digits as its factorization.

12130332132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162157 (or 162060 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12130332132000 its reverse (23123303121), we get a palindrome (12153455435121).

The spelling of 12130332132000 in words is "twelve trillion, one hundred thirty billion, three hundred thirty-two million, one hundred thirty-two thousand".