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121212120121020 = 2235527851895507
BaseRepresentation
bin11011100011110111100101…
…010111001011111010111100
3120220011202200001122002100000
4123203313211113023322330
5111341414410222333040
61105444025041434300
734350200222211045
oct3343674527137274
9526152601562300
10121212120121020
11356928538a6645
121171787993b990
13528333ba16206
1421d09ab1238cc
15e030133dd130
hex6e3de55cbebc

121212120121020 has 144 divisors (see below), whose sum is σ = 381308538619008. Its totient is φ = 32322035361600.

The previous prime is 121212120120991. The next prime is 121212120121033. The reversal of 121212120121020 is 20121021212121.

121212120121020 is a `hidden beast` number, since 1 + 21 + 212 + 1 + 201 + 210 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121212120120984 and 121212120121002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134908107 + ... + 135803613.

It is an arithmetic number, because the mean of its divisors is an integer number (2647975962632).

Almost surely, 2121212120121020 is an apocalyptic number.

121212120121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121212120121020 is an abundant number, since it is smaller than the sum of its proper divisors (260096418497988).

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

121212120121020 is a wasteful number, since it uses less digits than its factorization.

121212120121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923382 (or 923368 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121212120121020 its reverse (20121021212121), we get a palindrome (141333141333141).

The spelling of 121212120121020 in words is "one hundred twenty-one trillion, two hundred twelve billion, one hundred twenty million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 27851 55702 83553 111404 139255 167106 250659 278510 334212 417765 501318 557020 751977 835530 895507 1002636 1253295 1503954 1671060 1791014 2255931 2506590 2686521 3007908 3582028 3759885 4477535 4511862 5013180 5373042 6767793 7519770 8059563 8955070 9023724 10746084 11279655 13432605 13535586 15039540 16119126 17910140 22559310 24178689 26865210 27071172 32238252 33838965 40297815 45118620 48357378 53730420 67677930 72536067 80595630 96714756 120893445 135355860 145072134 161191260 217608201 241786890 290144268 362680335 435216402 483573780 725360670 870432804 1088041005 1450721340 2176082010 4352164020 24940765457 49881530914 74822296371 99763061828 124703827285 149644592742 224466889113 249407654570 299289185484 374111481855 448933778226 498815309140 673400667339 748222963710 897867556452 1122334445565 1346801334678 1496445927420 2020202002017 2244668891130 2693602669356 3367003336695 4040404004034 4489337782260 6060606006051 6734006673390 8080808008068 10101010010085 12121212012102 13468013346780 20202020020170 24242424024204 30303030030255 40404040040340 60606060060510 121212120121020