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12002012001021 = 3721929377318973
BaseRepresentation
bin1010111010100110111110…
…1010010111001011111101
31120111101021212000100022210
42232221233222113023331
53033120110033013041
641305352002131033
72346055021516500
oct256515752271375
946441255010283
1012002012001021
11390802a978a69
12141a0a1650a79
13690a284a9533
142d6c86cbd137
1515c2ee8a4016
hexaea6fa972fd

12002012001021 has 96 divisors (see below), whose sum is σ = 19688472800640. Its totient is φ = 6466437121536.

The previous prime is 12002012001017. The next prime is 12002012001079. The reversal of 12002012001021 is 12010021020021.

It is not a de Polignac number, because 12002012001021 - 22 = 12002012001017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12002012000988 and 12002012001006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002012001521) 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, 632574291 + ... + 632593263.

It is an arithmetic number, because the mean of its divisors is an integer number (205088258340).

Almost surely, 212002012001021 is an apocalyptic number.

It is an amenable number.

12002012001021 is a deficient number, since it is larger than the sum of its proper divisors (7686460799619).

12002012001021 is a wasteful number, since it uses less digits than its factorization.

12002012001021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20075 (or 20068 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12002012001021 its reverse (12010021020021), we get a palindrome (24012033021042).

The spelling of 12002012001021 in words is "twelve trillion, two billion, twelve million, one thousand, twenty-one".

Divisors: 1 3 7 19 21 49 57 133 147 293 399 773 879 931 2051 2319 2793 5411 5567 6153 14357 14687 16233 16701 18973 37877 38969 43071 44061 56919 102809 113631 116907 132811 226489 272783 308427 360487 398433 679467 719663 818349 929677 1081461 1585423 2158989 2523409 2789031 4303291 4756269 5559089 7570227 11097961 12909873 14666129 16677267 17663863 30123037 33293883 38913623 43998387 52991589 90369111 102662903 105622691 116740869 210861259 272395361 278656451 307988709 316868073 632583777 718640321 739358837 817186083 835969353 1950595157 2155920963 2218076511 4297175797 5175511859 5851785471 12891527391 13654166099 15526535577 30080230579 40962498297 81646340143 90240691737 210561614053 244939020429 571524381001 631684842159 1714573143003 4000670667007 12002012001021