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20112592211712 = 2836711132331151
BaseRepresentation
bin1001001001010110100111…
…11010100000111100000000
32122012202010010120111000000
410210223103322200330000
510114011042101233322
6110435333004000000
74144041533024610
oct444532372407400
978182103514000
1020112592211712
11645477aa73180
122309b56530000
13b2b7bc857910
144d7651816a40
1524d2948213ac
hex124ad3ea0f00

20112592211712 has 4032 divisors, whose sum is σ = 87628451807232. Its totient is φ = 4434186240000.

The previous prime is 20112592211711. The next prime is 20112592211779. The reversal of 20112592211712 is 21711229521102.

20112592211712 is a `hidden beast` number, since 2 + 0 + 11 + 259 + 221 + 171 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20112592211711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 133195974837 + ... + 133195974987.

It is an arithmetic number, because the mean of its divisors is an integer number (21733246976).

Almost surely, 220112592211712 is an apocalyptic number.

20112592211712 is a gapful number since it is divisible by the number (22) 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 20112592211712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43814225903616).

20112592211712 is an abundant number, since it is smaller than the sum of its proper divisors (67515859595520).

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

20112592211712 is a wasteful number, since it uses less digits than its factorization.

20112592211712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 20112592211712 in words is "twenty trillion, one hundred twelve billion, five hundred ninety-two million, two hundred eleven thousand, seven hundred twelve".