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12020311302021 = 32111737439439709
BaseRepresentation
bin1010111011101011001001…
…1000101001111110000101
31120120010112011101011010200
42232322302120221332011
53033420044143131041
641322015455441113
72350303343150331
oct256726230517605
946503464334120
1012020311302021
1139148703a7720
121421749b26199
136926837216a9
142d7b0137a7c1
1515ca2117e1b6
hexaeeb2629f85

12020311302021 has 96 divisors (see below), whose sum is σ = 20644278969600. Its totient is φ = 6655983114240.

The previous prime is 12020311301989. The next prime is 12020311302023.

12020311302021 is a `hidden beast` number, since 12 + 0 + 20 + 311 + 302 + 0 + 21 = 666.

12020311302021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12020311302021 - 25 = 12020311301989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12020311301985 and 12020311302003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12020311302023) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27117115 + ... + 27556823.

It is an arithmetic number, because the mean of its divisors is an integer number (215044572600).

Almost surely, 212020311302021 is an apocalyptic number.

12020311302021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12020311302021 is a deficient number, since it is larger than the sum of its proper divisors (8623967667579).

12020311302021 is a wasteful number, since it uses less digits than its factorization.

12020311302021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440219 (or 440216 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 1202031 and 1302021, that added together give a palindrome (2504052).

The spelling of 12020311302021 in words is "twelve trillion, twenty billion, three hundred eleven million, three hundred two thousand, twenty-one".

Divisors: 1 3 9 11 17 33 37 51 99 111 153 187 333 407 439 561 629 1221 1317 1683 1887 3663 3951 4829 5661 6919 7463 14487 16243 20757 22389 43461 48729 62271 67167 82093 146187 178673 246279 276131 439709 536019 738837 828393 1319127 1608057 2485179 3037441 3957381 4836799 7475053 9112323 14510397 16269233 22425159 27336969 43531191 48807699 67275477 82225583 146423097 178961563 193032251 246676749 276576961 536884689 579096753 740030247 829730883 1610654067 1737290259 2123354761 2489192649 3042346571 3281548267 6370064283 7142193287 9127039713 9844644801 19110192849 21426579861 27381119139 29533934403 36097030937 64279739583 78564126157 108291092811 121417285879 235692378471 324873278433 364251857637 707077135413 1092755572911 1335590144669 4006770434007 12020311302021