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120020001122021 = 711135341910495147
BaseRepresentation
bin11011010010100001010101…
…100010000110011011100101
3120201221210121020102022022112
4123102201111202012123211
5111212401430241401041
61103132232150210405
734165105341003230
oct3322412542063345
9521853536368275
10120020001122021
113527321879a220
121156481b653a05
1351c7ab7108210
14218cddb568417
15dd1ee0543deb
hex6d28558866e5

120020001122021 has 128 divisors (see below), whose sum is σ = 164766970368000. Its totient is φ = 84400143759360.

The previous prime is 120020001122009. The next prime is 120020001122057. The reversal of 120020001122021 is 120221100020021.

It is a de Polignac number, because none of the positive numbers 2k-120020001122021 is a prime.

It is a super-2 number, since 2×1200200011220212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120020001121987 and 120020001122005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120020001122071) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23318435570 + ... + 23318440716.

It is an arithmetic number, because the mean of its divisors is an integer number (1287241956000).

Almost surely, 2120020001122021 is an apocalyptic number.

120020001122021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120020001122021 is a deficient number, since it is larger than the sum of its proper divisors (44746969245979).

120020001122021 is a wasteful number, since it uses less digits than its factorization.

120020001122021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6699.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120020001122021 its reverse (120221100020021), we get a palindrome (240241101142042).

The spelling of 120020001122021 in words is "one hundred twenty trillion, twenty billion, one million, one hundred twenty-two thousand, twenty-one".

Divisors: 1 7 11 13 53 77 91 143 371 419 583 689 1001 1049 2933 4081 4609 4823 5147 5447 7343 7579 11539 13637 22207 32263 36029 38129 53053 55597 56617 59917 66911 80773 95459 150007 155449 244277 272791 288691 389179 396319 419419 439531 468377 611567 722761 736021 1050049 1709939 1909537 2020837 2156593 3000701 3076717 3175601 3546283 4280969 4834841 5059327 5152147 5399203 5713903 7950371 15096151 21004907 22229207 23295143 23722523 24823981 28035709 33843887 37794421 39009113 39997321 55652597 59391233 62852933 70189639 114299429 163066001 166057661 196249963 256246573 273063791 286157759 302836859 308392799 415738631 439970531 491327473 772086029 800096003 1257293719 1485892577 1793726011 2003104313 2119858013 2158749593 2262266057 3147735349 3331205449 3720050867 5404602203 8801056033 10401248039 15835862399 16344818347 22034147443 23318438143 24884926627 26040356069 29409458741 40920559537 114413728429 119900101021 174194486389 205866211187 286443916759 323504046151 839300707147 1318901111231 1558701313273 2264528323057 9232307778617 10910909192911 17145714446003 120020001122021