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12020020211988 = 22321973169229321
BaseRepresentation
bin1010111011101010000100…
…0010001111000100010100
31120120002202212122020200100
42232322201002033010110
53033414000133240423
641321530540414100
72350263210010335
oct256724102170424
946502685566610
1012020020211988
113914731059448
121421688547330
13692638323279
142d7ab484628c
1515ca05830343
hexaeea108f114

12020020211988 has 36 divisors (see below), whose sum is σ = 30399340028148. Its totient is φ = 4004642628480.

The previous prime is 12020020211957. The next prime is 12020020211999. The reversal of 12020020211988 is 88911202002021.

It can be written as a sum of positive squares in 2 ways, for example, as 6807027104784 + 5212993107204 = 2609028^2 + 2283198^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 84543633 + ... + 84685688.

It is an arithmetic number, because the mean of its divisors is an integer number (844426111893).

Almost surely, 212020020211988 is an apocalyptic number.

12020020211988 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12020020211988 is an abundant number, since it is smaller than the sum of its proper divisors (18379319816160).

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

12020020211988 is a wasteful number, since it uses less digits than its factorization.

12020020211988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169231304 (or 169231299 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 12020020211988 in words is "twelve trillion, twenty billion, twenty million, two hundred eleven thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 1973 3946 5919 7892 11838 17757 23676 35514 71028 169229321 338458642 507687963 676917284 1015375926 1523063889 2030751852 3046127778 6092255556 333889450333 667778900666 1001668350999 1335557801332 2003336701998 3005005052997 4006673403996 6010010105994 12020020211988